Разложите ** множители (a-x)(x-y)(y+x+a)-(y-x)(x-a)(y-x-a)

Question

Разложите на множители
(a-x)(x-y)(y+x+a)-(y-x)(x-a)(y-x-a)

Answer 1

(a-x)(x-y)(y+x+a)-(y-x)(x-a)(y-x-a)=(a-x)(x-y)(y+x+a)-(x-y)(a-x)(y-x-a)=
=(a-x)(x-y)(y+x+a-y+x+a)=(a-x)(x-y)(2x+2a)=2(a-x)(a+x)(x-y)

Comments

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