Question

Which of the following is a
factor of

(x+y)whole cube3 – (x3+ y3)?
​

Answer 1

Step-by-step explanation:

Question

(x+y)³-(x³+y³)

Solution

(x+y)³-(x³+y³)

\bold{(x+y)³-(x+y)(x²-xy+y²)}(x+y)³−(x+y)(x²−xy+y²)

\bold{(x+y)(x+y)²-(x²-xy+y²)}(x+y)(x+y)²−(x²−xy+y²)

\bold{(x+y)(x²+2xy+y²-x²+xy-y²)}(x+y)(x²+2xy+y²−x²+xy−y²)

\bold{(x+y)(2xy+xy)}(x+y)(2xy+xy)

\bold{(x+y)3xy}(x+y)3xy

Answer 2

$\underline{\boxed{\pink{\sf Question:- }}}$

(x+y)³-(x³+y

$\underline{\boxed{\pink{\sf Solution:- }}}$

(x+y)³-(x³+y³)

$\bold{(x+y)³-(x+y)(x²-xy+y²)}$

$\bold{(x+y)(x+y)²-(x²-xy+y²)}$

$\bold{(x+y)(x²+2xy+y²-x²+xy-y²)}$

$\bold{(x+y)(2xy+xy)}$

$\bold{(x+y)3xy}$

$\underline{\boxed{\pink{\sf \bold{\red{3xy}}}}}$