So we set it = 0 i*sqrt(3)(x1) = 0 x1 = 0 x = 1 Then substituting that y = y = y = y = 1 So we end up with all solutions {(x,y) x y = 1} plus the one solution (x,y) = (1,1) Now if you were asking about xy instead of xy, the answer would be xy is always either 1 or 2 Are you sure you didn't make a typo and you were asking about xy and not xy? = x^3 3x^2y 3xy^2 y^3 = x^3 y^3 3xy(x y) Also, Read Cube of a Binomial Cube of Sum of Two Binomials Examples 1 Determine the expansion of (x 2y)^3 Solution The given expression is (x 2y)^3 We have an equation on cubes like (x y)^3 = x^3 y^3 3xy(x y) By comparing the above expression with the (x y)^3 Here, xWe know that (x y) 3 = x 3 y 3 3xy (x y) Using Identity VII ⇒ x 3 y 3 = (x y) 3 3xy (x y) x 3 y 3 = (x y) { (x y) 2 3xy} ⇒ x 3 y 3 = (x y) (x 2 2xy y 2 3ry) Using Identity IV ⇒ x 3 y 3 = (x y) (x 2 xy y 2 ) 350 Views
Consider The Function F X Y X 3 Y 3 3xy Chegg Com
X(x^3-y^3)+3xy(x-y) solution
X(x^3-y^3)+3xy(x-y) solution-Ĺet x^yy^x= (xy)^3=x^3y^33xy (xy) Or,x^yy^x=x^3y^39xy again x=3y so x^3y^39xy= (3y)^3y^39 (3y)y=2727y9y^2y^3y^39y^227=5427y Now we got 54 27y=27, or 27y=27,y=1 Then x=31=2 The values of x& y only satisfy xy=3 and doen't satisfy x^yy^x=27 So there is no solution for the values of x & y kash EduTech Pvt Ltd What are you looking for?
If x y = 12, and xy = 27, then find the value of x3 y3 Welcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to get solutions to their queriesĹet x^yy^x=(xy)^3=x^3y^33xy(xy) Or,x^yy^x=x^3y^39xy again x=3y so x^3y^39xy=(3y)^3y^39(3y)y=2727y9y^2y^3y^39y^227=5427y Now we got 54 27y=27, or 27y=27,y=1Polynomial Examples Find the remainder when x 4 x 3 – 2x 2 x 1 is divided by x – 1 Solution Here, p(x) = x 4 x 3 – 2x 2 x
X^3 y^3 = (x y)(x^2 xy y^2) (identity) (2i) = (2i)(x^2 xy y^2) Divide both sides by 2i x^2 xy y^2 = 1 Add 3xy to both sides x^2 2xy y^2 = 3xy 1 (x y)^2 = 3xy 1 (2i)^2 = 3xy 1 4 = 3xy 1 3xy = 3 xy = 1 y = 1/x, xX 0 =1 x a y a = (xy) a, 2 2 3 2 = 6 2;(xy) 3 = x 3 y 3 3xy(x y) x 2 y 2 = (x y)(x y) x2 = 1/x 2, 24 = 1/16 = 1/2 4 (x a)(x b) = x ab;
It is clear that when $x=y$ we have $x^3y^3=0$ Then use long division to divide $x^3y^3$ by $xy$ and the result will be the equation on the right Another way would be to write $$\left(\frac{x}{y}\right)^3 1$$ Now we wish to find the zeros of this polynomialPhilip Macdonald Answered 1 year ago Author has 234 answers and 413K answer views xy =7, xy =1 (xy)^3 = x^3 3x^2*y 3x*y^2 y^3 = x^3y^3 3xy (xy) Then 7^3 = x^3y^3 3*1*7, ie, x^3y^3 = 7^3 7*3 = 7 (7^2 3) = 7*46 =322 143 views Sponsored by Jumbo Privacy & Security (x y z) 2 = x 2 y 2 z 2 2xy 2yz 2zx (x y) 3 = x 3 y 3 3xy(x y) (x – y) 3 = x 3 – y 3 – 3xy(x – y) x 3 y 3 z 3 – 3xyz = (x y z)(x 2 y 2 z 2 – xy – yz – zx;
Solution (By Examveda Team) Given, xy = 2 cubing both sides (xy) 3 = 2 3 => x 3 y 3 3xy ( xy) = 8 => x 3 y 3 3×15×2= 8 => x 3 y 3 90 = 8 => x 3 y 3 = 035 (1) Upvote (1) Choose An Option That Best Describes Your Problem Answer not in Detail Incomplete Answer Answer Incorrect Others Answer not in Detail Incomplete Answer Answer IncorrectCube of a binomial can be simplified using the identities \({(x y)}^3 = x^3 y^3 3xy(x y)\)
4 It's two equations, with two variables We can do what we always do You can write y = 8 / x, and substitute into the first equation, obtaining x3 / x3 = 72 From here, we want to write this as a polynomial, so we multiply through x3 so there are no negative powers, and then move everything to the left(xy)^3 x^3y^33xy(xy) x^3y^3z^33xyz (xyz)(x^2y^2z^2xyyzzx) √ab √a√b √a/b(whole) √a/√b (√a√b)(√a√b) ab (a√b)(a√b) a^2b (√a√b)^2 a2√abb OTHER SETS BY THIS CREATOR GeographyChapter 1Indiasize and location 13 terms ikeepchangingmynameStudy on the go Download the iOS Download the Android app Company About Us Scholarships
kdtiwari9862 is waiting for your help Add your answer and earn points ashwinipmashwinipm Answer 3xyz Stepbystep explanation x y z = 0 = x y = z Cubing on both sides (x y)^3 = (z)^3 ⇒x ^3y ^33xy(xy)=z ^3Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyX 3 y 3 3xy = 1
Here, exponent of every variable is a whole number, but x 10 y 3 t 50 is a polynomial in x, y and t, ie, in three variables So, it is not a polynomial in one variable Ex 21 Class 9 Maths Question 2 (ii) (2a – 3b) 3 = (2a) 3 – (3b) 33(2a)(3b)(2a3b) Using identity (xy) 3 =x 3y 33xy(xy) = 8a 327b 318ab(2a3b) = 8a 3 – 27 b 3 – 36a 2 b 54ab 2 =8a 3 – 36a 2 b 54ab 2 – 27 b 3 Question 7 Evaluate the following using suitable identities (i) (99) 3Quadratic equation, for any given x if ax 2 bx c =0 then x has 2 solutions x=(b√(b 2 4ac)/2a, x=(b√(b 2 4ac)/2a x a y b is not equal to (xy) ab
0 Follow 0 A K Daya Sir, added an answer, on 25/9/13 A K Daya Sir answered this 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) (x y) 2 3xy = (x y) x 2 y 2 2xy 3xy = (x y) (x 2 xy y 2 ) Was this answer helpful?Simplify (xy)^3 (x − y)3 ( x y) 3 Use the Binomial Theorem x3 3x2(−y) 3x(−y)2 (−y)3 x 3 3 x 2 ( y) 3 x ( y) 2 ( y) 3 Simplify each term Tap for more steps Rewrite using the commutative property of multiplication x 3 3 ⋅ − 1 ( x 2 y) 3 x ( − y) 2 ( − y) 3 x 3 3 ⋅ 1 ( x 2 y) 3 x ( y) 2 find x^3y^3 The coordinates of point Y are giving The midpoint XY is (3,5) Find the coordinates of point X
Typo/misspeak around 4 minutes 369=27Multivariable Calculus Find all local maxima/minima and saddle points for the function f(x,y) = x^3 3xy y^3 WHere given are, XY=7, let's say it is formula 1 in order to make it kinda convenient and easy to understand And XY=10, let's mark it as 2 Now, see formula 1 can be also written as,1 How do you simplify the cube of a binomial?
Which of the following is a factor of `(xy)^3(x^3y^3)?` A `x^2y^22xy` B `x^2y^2xy` C `xy^2` D `3xy` Welcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to get solutions to their queriesSOLUTION ⇒ x – y = 3 ⇒ (x – y) 3 = 3 3 ⇒ x 3 – y 3 – 3xy (x – y) = 27 ⇒ x 3 – y 3 – 3xy × 3 = 27 ⇒ x 3 – y 3 – 9xy = 27(i) (99) 3 (ii) (102) 3 (iii) (998) 3 Solution We will use the following algebraic Identities to evaluate the given expressions (x y) 3 = x 3 y 3 3xy(x y) (x y) 3 = x 3 y 3 3xy(x y) (i) (99) 3 = (100 1) 3 Identity Here we can use (x y) 3 = x 3 y 3 3xy(x y) Let us substitute x = 100, y = 1 (99) 3 = (100) 3 (1) 3 3(100)(1)(100 1)
Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given (i) Area 25a2 – 35a 12 (ii) Area 35y2 13y – 12 Solution (i) We have, area of rectangle = 25a 2 – 35a12 = 25a 2 – a – 15a12 Thanks for trying but the answer is 459 dududsu2 #3 1 x= 9y xy would then be (9y) y = 10 y^2 9y 10 = 0 y^29y10 = 0 y = 9/2 sqrt41/ 2 (x^3 y^3 = ( Start your 48hour free trial to unlock this answer and thousands more Enjoy eNotes adfree and cancel anytime
Get FREE NCERT Solutions for Class 9 Maths Chapter 2 Polynomials Ex 25 We have created Step by Step solutions for Class 9 maths to help you to revise(x y)^3 = (x^3) (y^3) 3xy(x y) so, (3)^3 = 9 3xy(3) so, 27 = 9 9xy so, (27 9)/9 = xy so, xy = 18/9 = 2X a /x b = x ab = 1/x ba;
= (4a – 3b) 3 ∵ (x – y) 3 = x 3 – y 3 – 3xy(x – y) = (40 – 3b) (4a – 3b) (4a – 3b) Question 3 What are the possible expressions for the dimensions of a cuboid whose volume is given below ?यदि x 2 – 9x 1 = 0 है, तो x 3 1/x 3 का मान क्या है?In mathematics, the cube of sum of two terms is expressed as the cube of binomial x y It is read as x plus y whole cube It is mainly used in mathematics as a formula for expanding cube of sum of any two terms in their terms ( x y) 3 = x 3 y 3 3 x 2 y 3 x y 2
Volume = 12ky 2 8ky – k Solution We have, volume = 12ky 2 8ky – k = 4k(3y 2 2y – 5) = 4k(3y 2 5y – 3y – 5)(X – Y) 3 = X 3 – Y 3 – 3XY(X – Y) Or (X – Y) 3 = X 3 – Y 3 – 3X 2 Y 3XY 2 Was this answer helpful?Ĺet x^yy^x=(xy)^3=x^3y^33xy(xy) Or,x^yy^x=x^3y^39xy again x=3y so x^3y^39xy=(3y)^3y^39(3y)y=2727y9y^2y^3y^39y^227=5427y Now we got 54 27y=27, or 27y=27,y=1
Heya mate, Here is ur answer xyz=0 xy=z cubing both the sides (xy)^3=z^3 x^3 y^3 3xy (xy) =z^3 but xy=z x^3 y^3 3xy (z) =z^3 x^3 Y^3 3xyz=z^31 Explanation We know that algebraic formula, (x y) 3 = x 3 y 3 3xy (x y) put the value of x y in given equation given, x y = 1 1 = x 3 y 3 3xy X 1?Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more
xy=1 (xy)³=1 x³3x²y3xy²y³=1 3xy(xy)3=1 xy=2/3 (xy)²=1 x²y²2xy=1 x²y²=7/3 (x²y²)(x³y³)=7/3*3=7 x^5x²y³x³y²y^5=7 x^5y^5=x²y²(xy)7=4/97=59/9 已赞Telangana SCERT Class 9 Math Chapter 2 Polynomials and Factorisation Exercise 25 Math Problems and Solution Here in this Post Telanagana SCERT Class 9 Math Solution Chapter 2 Polynomials and Factorisation Exercise 25Use identity ( a b)^3 = a^3 b^3 3ab (a b ) Put a= x and b= y ( x y)^3 = x^3 y^3 3xy ( x y ) In further step 3xy can be multiplied inside the bracket The answer is 👍 Helpful 💡
Note that (x y) 3 = x 3 y 3 3xy(x y) Share this link with a friend Copied! 展开全部 (xy)^3= (xy)^2* (xy)= (x^22xyy^2)* (xy)=x^3y^33xy (xy) 所以得到上述证明 这是一个简单的证明,你应该还没有接触到 (xy)^3 4 已赞过 已踩过 < 你对这个回答的评价是? 分享 新浪微博 Q9 Verify (i) x 3 y 3 = (x y) (x 2 – xy y 2) (ii) x 3 – y 3 = (x – y) (x 2 xy y 2) Answer (i) x 3 y 3 = (x y) (x 2 – xy y 2) ∵ (x y) 3
SOLUTION ⇒ x – y = 3 ⇒ (x – y) 3 = 3 3 ⇒ x 3 – y 3 – 3xy (x – y) = 27 ⇒ x 3 – y 3 – 3xy × 3 = 27 ⇒ x 3 – y 3 – 9xy = 27 Related Questions If x 2 – 9x 1 = 0, then what is the value of x 3 1/x 3?
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