因式分解 ①3(y-x)²+2(x-y)②4a(x-2)²-2b(2-x)³③6x³y(x-y)³-4xy³(y-x)² ④a(x-y)-b(y-x)+c(x-y)⑤m²(x-2)+(2-x)
问题描述:
因式分解 ①3(y-x)²+2(x-y)
②4a(x-2)²-2b(2-x)³
③6x³y(x-y)³-4xy³(y-x)²
④a(x-y)-b(y-x)+c(x-y)
⑤m²(x-2)+(2-x)
答
3(y-x)²+2(x-y)=3(x-y)²+2(x-y)=(x-y)[3(x-y)+2]=(x-y)(3x-3y+2)
4a(x-2)²-2b(2-x)³=4a(x-2)²+2b(x-2)³=2(x-2)²[2a+b(x-2)]=(x-2)²(2a+bx-2b)
6x³y(x-y)³-4xy³(y-x)²=6x³y(x-y)³-4xy³(x-y)²=2xy(x-y)²[3x²(x-y)-2y²]=2xy(x-y)²(3x³-3x²y-2y²
答
①3(y-x)²+2(x-y)=3(x-y)²+2(x-y)=(x-y)(3x-3y+2)②4a(x-2)²-2b(2-x)³=4a(x-2)²+2b(x-2)³=(x-2)²[4a+2b(x-2)]=(x-2)²(4a+2bx-4b)③6x³y(x-y)³-4xy³(y-x...