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因式分解-5a^2+25a;25x^2-16y^2;x^3-25x;x^2(x-y)+y^2(y-x);x^2y^4-16x^2;(a+b)^2+2(a+b)+1

分类: 作业答案 • 2022-01-09 18:02:39
问题描述：

因式分解-5a^2+25a;25x^2-16y^2;x^3-25x;x^2(x-y)+y^2(y-x);x^2y^4-16x^2;(a+b)^2+2(a+b)+1

答

-5a^2+25a;=-5a(a-5)25x^2-16y^2=(5x-4y)(5x+4y);x^3-25x;=x(x-5)(x+5)x^2(x-y)+y^2(y-x);=x²(x-y)-y²(x-y)=(x-y)(x²-y²)=(x-y)²(x+y)x^2y^4-16x^2;=x²(y^4-16)=x²(y²-4)(y...写下过程，xiexie-5a^2+25a;=-5a(a-5)25x^2-16y^2=(5x-4y)(5x+4y);x^3-25x;=x(x²-5²)=x(x-5)(x+5)x^2(x-y)+y^2(y-x);=x²(x-y)-y²(x-y)=(x-y)(x²-y²)=(x-y)(x-y)(x+y)=(x-y)²(x+y)x^2y^4-16x^2;=x²(y^4-16)=x²(y²-4)(y²+4)=x²(y-2)(y+2)(y²+4)(a+b)^2+2(a+b)+1=(a+b+1)²

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