Question

(y - x) 3 - (y + x) 3​

Answer 1

Answer:

(y-x)3-(y+x)3

y-x × 3-y-x × 3

y-y-x-x×3×3

0-2x×9

-2x × 9

Answer 2

Given that:- $(y - x) ^3 - (y + x) ^3$

We have to simplify the given expression,

As we know that,

$a^3+b^3=(a+b)(a^2-ab+b^2)$

Therefore,

$(x+y)^3+(x-y)^3=[(x+y)+(x-y)][x+y)^2-(x+y)(x-y)+(x-y)^2]$

$(x+y)^3+(x+y)^3=(2x)(x^2+2xy+y^2-x^2-y^2+x^2-2xy+y^2)$

Now, by using identity,

$[(a+b)^2=a^2+2ab+b^2, (a+b)(a-b)= a^2-b^2]$

The expression becomes,

$(x+y)^3 + (x-y)^3= (2x)(x^2+y^2)$