Which of the following is a factor of (x+y)^3−(x^3+y^3)? x^2−2xy+y^2 xy^2 3xy x^2+xy+y^2

vomi2xn

vomi2xn

Answered question

2023-03-02

Which of the following is a factor of (x+y)^3−(x^3+y^3)?
x^2−2xy+y^2
xy^2
3xy
x^2+xy+y^2

Answer & Explanation

Macas6tl

Macas6tl

Beginner2023-03-03Added 3 answers

P ( x ) = ( x + y ) ( x + y ) 2 ( x + y ) ( x 2 x y + y 2 ) = ( x + y ) ( x 2 + 2 x y + y 2 ) ( x + y ) ( x 2 x y + y 2 ) = ( x + y ) ( x 2 + 2 x y + y 2 x 2 + x y y 2 ) = ( x + y ) ( 3 x y )
So, answer is 3xy

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