Question

simplify :

(x+y) (x-y+xy) + (x-y) (x+y-xy)

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Answer 1

Answer:

=2x²-2y²+2xy²

= 2(x²-y²+xy²)

Explanation:

(x+y) (x-y+xy) + (x-y) (x+y-xy)

=x(x-y+xy)+ y(x-y+xy) + x(x+y-xy)- y(x+y-xy)

= x²-xy+x²y+ xy-y²+xy²+x²+xy-x²y-xy-y²+xy²

=x²+x²-xy+xy+xy-xy+x²y-x²y-y²-y²+xy²+xy²

=2x²-2y²+2xy²

=2(x²-y²+xy²)

Answer 2

Answer:

$= (x +y)(x - y + xy) + (x - y)(x + y - xy) \\ = ( {x}^{2} - xy + {x}^{2}y + xy - {y}^{2} + x {y}^{2}) + ( {x}^{2} + xy - {x}^{2}y - xy - {y}^{2} + x {y}^{2}) \\ = {x}^{2} - {y}^{2} + {x}^{2}y + x {y}^{2} + {x}^{2} - {y}^{2} - {x}^{2}y+ x {y}^{2} \\ = 2 {x}^{2} - 2 {y}^{2} + 2x {y}^{2} \\ = 2( {x}^{2} - {y}^{2} + x {y}^{2})$

Explanation:

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