作业帮(x^2-b^2+y^2-a^2)^2-4(ab-xy)^2因式分解
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/25 12:22:14
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(x^2-b^2+y^2-a^2)^2-4(ab-xy)^2因式分解
(x^2-b^2+y^2-a^2)^2-4(ab-xy)^2因式分解
(x^2-b^2+y^2-a^2)^2-4(ab-xy)^2因式分解
(x^2-b^2+y^2-a^2)^2-4(ab-xy)^2
=[(x²-b²+y²-a²)+2(ab-xy)][(x²-b²+y²-a²)-2(ab-xy)]
=[(x²-2xy+y²)-(a²-2ab+b²)][(x²+2xy+y²)-(a²+2ab+b²)]
=[(x-y)²-(a-b)²][(x+y)²-(a+b)²]
=(x-y+a-b)(x-y-a+b)(x+y+a+b)(x+y-a-b)
通分 a/(y-x)^2,b/(x-y)(x+y)
因式分解a(x-y)+b(y-x)+(2x-y)
(x+y)(a-2b)
a(x-y)(x+y)-b(y-x)(x+y)-c(x-y)^2(y+x)提取公因式
(a-b)(a^2+b^2)(a+b)[(x-y)^2-(x-y)(x+y)]/(2y)
(2x+y)(2x-3y)+x(2y+y) 2a(x-y)-4b(x-y)
因式分解 a^2(x-y)+b^2(y-x)
a(x-3)(y-2)+b(3-x)(2-y)
a³2（x+y)-b²(x+y) 因式分解
因式分解：2a(x-y)-3b(y-x)
分解因式 3a(x+y)-2b(x+y)
因式分解:4a(x-y)-2b(x-y)
因式分解:10a(x-y)^2-5b(y-x)
分解因式:a(y-x)-2b(x-y)
4a(x-y)-2b(y-x)
a^2b(x-y)-ab(y-x)
4a(x-y)-2b(y-x)
因式分解：a(x-y)^2+b(y-x)^3 4(x-y)^2+8(y-x)(x+y)1.a(x-y)^2+b(y-x)^3 2.4(x-y)^2+8(y-x)(x+y)