作业帮因式分解-5a^2+25a;25x^2-16y^2;x^3-25x;x^2(x-y)+y^2(y-x);x^2y^4-1
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/05/29 02:47:26
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
-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)(y²+4)=x²(y-2)(y+2)(y²+4)
(a+b)^2+2(a+b)+1=(a+b+1)²
再问： 写下过程，xiexie
再答： -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
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)(y²+4)=x²(y-2)(y+2)(y²+4)
(a+b)^2+2(a+b)+1=(a+b+1)²
再问： 写下过程，xiexie
再答： -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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