神马作文网因式分解 ①3(y-x)²+2(x-y)
来源：学生作业帮 编辑：神马作文网作业帮 分类：数学作业 时间：2024/09/20 20:43:48
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)
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)
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）²
=6x³y（x-y）³-4xy³（x-y）²
=(6x³y-4xy³)（x-y）²
=2xy(3x² -2y² )(x-y)²
④a（x-y）-b(y-x)+c(x-y)
=a（x-y）+b(x-y)+c(x-y)
=(x-y)(a+b+c)
⑤m²（x-2）+(2-x)
=(m²-1)（x-2）
=(n+1)(m-1)(x-2)
=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）²
=6x³y（x-y）³-4xy³（x-y）²
=(6x³y-4xy³)（x-y）²
=2xy(3x² -2y² )(x-y)²
④a（x-y）-b(y-x)+c(x-y)
=a（x-y）+b(x-y)+c(x-y)
=(x-y)(a+b+c)
⑤m²（x-2）+(2-x)
=(m²-1)（x-2）
=(n+1)(m-1)(x-2)