Math, asked by dhanaraj2644, 1 year ago

simplify (x+4) (x-y+xy) + (x-y) (x+y-xy)

Answers

Answered by Prateek001
1
Let's simplify step-by-step.

(x+4)(x−y+xy)+(x−y)(x+y−xy)

Distribute:

=(x)(x)+(x)(−y)+(x)(xy)+(4)(x)+(4)(−y)+(4)(xy)+(x)(x)+(x)(y)+(x)(−xy)+(−y)(x)+(−y)(y)+(−y)(−xy)

=x2+−xy+x2y+4x+−4y+4xy+x2+xy+−x2y+−xy+−y2+xy2

Combine Like Terms:

=x2+−xy+x2y+4x+−4y+4xy+x2+xy+−x2y+−xy+−y2+xy2

=(x2y+−x2y)+(xy2)+(x2+x2)+(4xy+−xy+xy+−xy)+(−y2)+(4x)+(−4y)

=xy2+2x2+3xy+−y2+4x+−4y

Answer:

=xy2+2x2+3xy−y2+4x−4y

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