Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutor(x − y) (x 2 x y y 2) = x 3 x 2 y x y 2 − y x 2 − x y 2 − y 3 = (x 3 − y 3) (x 2 y x y 2 x 2 y − x y 2) = x 3 − y 3 = L H S Hence proved Yes, we can call it as an identity For example Let us take x = 2 and y = 1 in x 3 − y 3 = (x − y) (x 2 x y y 2) then the L H S and R H S will be equal as shown below 2 3 − 1 3 = 7 and (2 − 1) (2 2 (2 × 1) 1 2(xy)*(x^2xyy^2) See steps Step by Step Solution Reformatting the input Changes made to your input should not affect the solution (1) "y3" was replaced by "y^3" 1 more similar replacement(s) Step 1 Trying to factor as a Difference of Cubes 11 Factoring x 3y 3 Theory A difference of two perfect cubes, a 3 b 3 can be factored into (ab) • (a 2 ab b 2) Proof (a
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If log _(10)((x^(3)-y^(3))/(x^(3)+y^(3)))=2 then (dy)/(dx)=
If log _(10)((x^(3)-y^(3))/(x^(3)+y^(3)))=2 then (dy)/(dx)=-X 3 y 3 Simplify ——————— x Trying to factor as a Difference of Cubes 11 Factoring x 3 y 3 Theory A difference of two perfect cubes, a 3 b 3 can be factored into (ab) • (a 2 ab b 2) Proof (ab)•(a 2 abb 2) = a 3 a 2 b ab 2ba 2Simplifying x 1y 3 = 0 Reorder the terms 3 x 1y = 0 Solving 3 x 1y = 0 Solving for variable 'x' Move all terms containing x to the left, all other terms to the right Add '3' to each side of the equation 3 x 3 1y = 0 3 Reorder the terms 3 3 x 1y = 0 3 Combine like terms 3 3 = 0 0 x 1y = 0 3 x 1y = 0 3 Combine like terms 0 3 = 3 x
0 votes 1 answer Solve the following systems of simultaneous linear equations by the method ofEquations Tiger Algebra gives you not only the answers, but also the complete step by step method for solving your equations ((xy)^3)/(x^3y^3) so that you understand better(xy)*(x^2xyy^2) See steps Step by Step Solution Reformatting the input Changes made to your input should not affect the solution (1) "y3" was replaced by "y^3" 1 more similar replacement(s) Step 1 Trying to factor as a Sum of Cubes 11 Factoring x 3 y 3 Theory A sum of two perfect cubes, a 3 b 3 can be factored into (ab) • (a 2abb 2) Proof (ab) • (a 2
Another way is as follows $$ (x y)^3 = x^3 3x^2y 3xy^2 y^3 = (x^3 y^3) 3xy(x y) \quad \Rightarrow $$ $$ x^3 y^3 = (x y)^3 3xy(x y) = (x y)(x y)^2 3xy \quad \Rightarrow $$ $$ x^3 y^3 = (x y)(x^2 xy y^2) $$ Share Cite Follow answered Mar 2 '15 at 17 Mathsource Mathsource 4,795 18 18 silver badges 27 27 bronze badges $\endgroup$Y = x^3 x, y = 3xSketch the region enclosed by the given curves Decidewhether to integrate with respect to x or y Draw a typical approximatingrectangle aThe author is saying y is not a particular number, that equation holds for every real number So it works for y=3 but also for y = 3 or y = \pi or whatever
From the identity $$(x y z)^3 = x^3 y^3 z^3 3(x y)(y z)(z x)$$ we obtain $8 = (xy)(yz)(zx)$ It follows that $(3−x)(3−y)(3− z) = 8$ · How do you find #(dy)/(dx)# given #y^3x^3=3xy#?Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutor
3 3 x = 3 y 3 Dividing by 3 undoes the multiplication by 3 Equation of the line that is perpendicular to \displaystyle{5}{y}{3}{x}={8} and passing through \displaystyle{\left({46}\right)} is \displaystyle{5}{x}{3}{y}{2}={0} Equation of the line that is perpendicular to 5 y 3 x = 8 and passing through (4 6) is 5 x − 3 y − 2 = 0 y=3x30 y = 3 x − 3 0 https//www · x 3 y 3 = (x y)(x 2 xy y 2 ) this formula can be derived from (x y) 3 = x 3 y 3 3xy(x y) x 3 y 3 = (x y) 3 3xy(x y) x 3 y 3 = (x y)(xCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music WolframAlpha brings expertlevel knowledge and
1 day ago · Stack Exchange network consists of 177 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack ExchangeThe multiple roots of x 5 − 3 x 4 − 5 x 3 2 7 x 2 − 3 2 x 1 2 = 0 are View solution If 1 is a twice repeated root of the equation a x 3 b x 2 b x d = 0 , thenSolution (xy)^2 =(xy)(xy) Then you FOIL (First, outer, inner, last) (xy)^2=(xy)(xy) = xx xy xy yy and when you combine like terms = x^2 2xy y^2 (x
Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutor · (xy)^3= x^3 y^3 3xy (xy) 1 See answer saikiashikhamoni1111 is waiting for your help Add your answer and earn points rumig07 rumig07 answer (xy)^3 = (xy)^2 (xy) = (x^2y^22xy) (xy) = x^3xy^22x^2yx^2yy^32xy^2 = x^3y^33x^2y3xy^2 = x^3y^33xy(xy) hence proved New questions in Math Find the product of 2÷5×1÷3 solve 2xy=5;3xy=and write the value of x and yCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music WolframAlpha brings expertlevel knowledge and
2xy=3 Geometric figure Straight Line Slope = 2 xintercept = 3/2 = yintercept = 3/1 = Rearrange Rearrange the equation by subtracting what is to the right of theSimple and best practice solution for xy=3;xy=1 Check how easy it is, to solve this system of equations and learn it for the future Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework If it's not what You are looking for type in the system of equations solver your own equations and let us solve it Remember to put linearEULERS PARTIAL DERIVATIVE If u=tan^1(x^3y^3)/(xy) prove xӘu/ӘxyӘu/Әy = sin2uEULERS LINKS solve z homogeneous function degree n show x^2Ә^2u/Әx^2 y^2Ә^2
The X and Y intercepts and the Slope are called the line properties We shall now graph the line 3yx9 = 0 and calculate its properties Graph of a Straight Line Calculate the YIntercept Notice that when x = 0 the value of y is 3/1 so this line "cuts" the y axis at y= yintercept = 9/3 = 3 Calculate the XInterceptFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutorThe points (x,y,z) of the sphere x 2 y 2 z 2 = 1, satisfying the condition x = 05, are a circle y 2 z 2 = 075 of radius on the plane x = 05 The inequality y ≤ 075 holds on an arc The length of the arc is 5/6 of the length of the circle, which is why the conditional probability is equal to 5/6 This successful geometric explanation may create the illusion that the following
Click here👆to get an answer to your question ️ Factorize x^3 y^3 z^3 = 3xyz · #(x^2y^22xy)(xy)=x^3x^2yxy^2y^32x^2y2xy^2# #rArr x^3y^33x^2y3xy^2# Always expand each term in the bracket by all the other terms in the other brackets, but never multiply two or more terms in the same bracketX ^ { 3 } 3 x ^ { 2 } y 3 x y ^ { 2 } y ^ { 3 } x 3 3 x 2 y 3 x y 2 y 3 Use the binomial cube formula, a^{3}3a^{2}b3ab^{2}b^{3}=\left(ab\right)^{3}, where a=x and b=y
Thus, x=y, if you restrict yourself to real numbers By the way, if you are going to complex numbers, there exist other solutions as well Hope my answer helps you (Sorry if my writing in the image is not neat!!!)$\begingroup$ Regarding the image, $3^3$ is $27$, not $81$ But since you're making that same mistake twice, just subtract the fake $3^3$ from both sides of your final equation, and what is left on both sides is $0=x^3y^3$1) Sketch the graph of {eq}(x3)^2(y3)^2=9{/eq} Match the given equation with the centerradius form of the equation of a circle, {eq}(xh)^2(y
Solve by Substitution y=1/(x3) , y=3x^3, Eliminate the equal sides of each equation and combine Graph each side of the equation The solution is the xvalue of the point of intersection Evaluate when Tap for more steps Substitute for Substitute for in and solve for Tap for more steps Remove parentheses Remove parentheses Simplify Tap for more steps Simplify eachCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music WolframAlpha brings expertlevel knowledge and capabilities to the broadest possibleSimplifying x y 2xy = 3 Reorder the terms x 2xy y = 3 Solving x 2xy y = 3 Solving for variable 'x' Move all terms containing x to the left, all other terms to the right Add '1y' to each side of the equation x 2xy y 1y = 3 1y Combine like terms y 1y = 0 x 2xy 0 = 3 1y x 2xy = 3 1y Reorder the terms 3 x 2xy y = 3 1y 3 y Reorder the terms
Solution for x3y=1 equation Simplifying x 3y = 1 Solving x 3y = 1 Solving for variable 'x' Move all terms containing x to the left, all other terms to the right Add '3y' to each side of the equation x 3y 3y = 1 3y Combine like terms 3y 3y = 0 x 0 = 1 3y x = 1 3y Simplifying x = 1 3yX^3 x^2 y x y^2 y^3 Extended Keyboard;EULERS LINKS solve z homogeneous function degree n show x^2Ә^2u/Әx^2 y^2Ә^2u/Әy^22xy^2u/Әx Әy =n(n1)z https//youtube/gnn51DwOhA If u=x/(yz)y/(xz)
To learn Rationalisation Click herehttps//youtube/CStg_QUBFKwTo learn Exterior Angle property of a Triangle Click herehttps//youtube/5d2Ecp0apDAThen type x=6 Try it now 2x3=15 @ x=6 Clickable Demo Try entering 2x3=15 @ x=6 into the text box After you enter the expression, Algebra Calculator will plug x=6 in for the equation 2x3=15 2(6)3 = 15 The calculator prints "True" to let you know that the answer isCalculus Basic Differentiation Rules Implicit Differentiation 1 Answer Alan N Aug 16, 16 #dy/dx=(x^2y)/(xy^2)# Explanation #y^3x^3=3xy# #3y^2dy/dx 3x^2 = 3(xdy/dxy*1)# (Inplicit differentiation, Power rule and Product rule) #3(y^2x)dy/dx = 3(yx^2)# Multiply through by #(1/3) ># #(xy^2)dy/dx= (x^2y)# #dy/dx= (x^2y)/(xy
So z = (x 3 y 3)/(xy) = x 3 (1y 3 /x 3)/x(1y/x) = x 2 (1y 3 /x 3)/(1y/x) = x 2 (1(y/x) 3)/(1y/x) Here z is a homogeneous function of the form x n f(y/x) Here n = 2 So by Euler's theorem x∂z/∂x y ∂z/∂y = nz (ii) ∂z/∂x = sec 2 u ∂u/∂x (from (i)) ∂z/∂y = sec 2 u ∂u/∂y Substitute above 2 equations in (ii) x sec 2 u ∂u/∂x y sec 2 u ∂u/∂y = 2 tan · Solve the following systems of simultaneous linear equations by the method of elimination by equating the coefficient x/7 y/3 = 5, x/2 y/9 = 6 asked May 23, in Linear Equations in Two Variables by HarshKumar (327k points) linear equations in two variables;D x 2 d 2 y = (y 2 − 2 x) 3 1 2 x 2 y 2 − 1 6 x y − 2 x 4 y − 2 x y 4 Use implicit differentiation to find the largest yvalue in the loop of the Folium of Descartes, which is given by x^3 y^3
· How do you write #y=3(x3)(x2)# in standard form?Simplifying 3(X y) = y (X * 3 y * 3) = y (3X 3y) = y Solving 3X 3y = y Solving for variable 'X' Move all terms containing X to the left, all other terms to the right Add '3y' to each side of the equation 3X 3y 3y = y 3y Combine like terms 3y 3y = 0 3X 0 = y 3y 3X = y 3y Combine like terms y 3y = 2y 3X = 2y Divide each side by '3' X =Algebra Polynomials and Factoring Polynomials in Standard Form 1 Answer Alan P Jul 13, 15 #y = 3x^23x18# Explanation Standard form for a quadratic (in variables #x# and #y#) is #color(white)("XXXX")# #y = ax^2bxc# #y=3(x3)(x2)# can be converted into "standard form" by multiplying the factors on the right side #y = (3)(x^2x
W 3 x 3 y 3 z 3 = 0 This is a famous Diophantine problem, to which Dickson's History of the Theory of Numbers, Vol II devotes many pages It is usually phrased as w 3 x 3 y 3 =z 3 or w 3 x 3 =y 3 z 3, with the implication that the variables are to be positive , as in the integer solutions 3 3 4 3 5 3 =6 3 (an amusing counterpart of the classic identity 3 2 4 2 =5 2 butSystemofequationscalculator y=3x1 , x=3y1 en Related Symbolab blog posts Middle School Math Solutions – Simultaneous Equations Calculator Solving simultaneous equations is one small