Question

(x+y) ka whole cube -(x+y)​

Answer 1

(x+y) whole cube = x cube + 3 × x square × y + 3 × x × y square + y cube

-(x+y) whole cube = -x - y whole cube = -(THE WHOLE CUBE FORMULA OF (X+Y) )

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Answer 2

The factor of the expression is $(x+y)^3-(x^3+y^3)=3xy(x+y)$

Step-by-step explanation:

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

To find : The factor of the expression?

Solution :

Expression $(x+y)^3-(x^3+y^3)$

We know,

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

We can write it as

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

Substitute in the expression,

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

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

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

$=3xy(x+y)$

Therefore, the factor of the expression is $(x+y)^3-(x^3+y^3)=3xy(x+y)$

#Learn more

Find out the factors of (x-y)²- (x-y)²​

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