Разложите на множители:
а) (a-x)(x^2-y^2)-(x-y)(a^2-x^2)
б) (a-x)(x^3-y^3)-(x-y)(a^3-x^3)
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Разложите на множители:
а) (a-x)(x^2-y^2)-(x-y)(a^2-x^2)
б) (a-x)(x^3-y^3)-(x-y)(a^3-x^3)
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Answers & Comments
a) (a-x)(x-y)(x+y) - (x-y)(a-x)(a+x) = (a-x)(x-y)(x+y-a-x) = (a-x)(x-y)(y-a)
б) (a-x)(x-y)(x^2+xy+y^2) - (x-y)(a-x)(a^2+ax+x^2) = (a-x)(x-y)(x^2+xy+y^2-a^2-ax-x^2)= (a-x)(x-y)(xy+y^2-a^2-ax)