Разложить на множители: a) (m-n)+2p(m-n); b) 7а-7в+ах-вх c) ху+2у+2х+4 a) xy+2y-2x-4 b) 2cx-cy-6x+3y c) x2+xy+xy2+y3 a) x4+x3y-xy3-y4 b) xy2-by2-ax+ab+y2-a c) x2-3x+6-2x
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7а-7в+ах-вх=a(7+x)-b(7+x)=(a-b)(7+x)
ху+2у+2х+4=y(x+2)+2(x+2)=(y+2)(x+2)
xy+2y-2x-4=y(x+2)-2(x+2)=(y-2)(x+2)
2cx-cy-6x+3y=3(y-2x)-c(y-2x)=(3-c)(y-2x)
x²+xy+xy²+y³=x(x+y)+y²(x+y)=(x+y)(x+y²)
x⁴+x³y-xy³-y⁴=-y³(x+y)+x³(x+y)=(y³+x³)(x+y)
xy²-by²-ax+ab+y²-a=y²(x-b)-a(x-b)+y²-a=(y²-a)(x-b+1)
x²-3x+6-2x=3(2-x)-x(2-x)=(3-x)(2-x)