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)

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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)

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)
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)

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)
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(y-x)²+2(x-y)=(x-y)(-3(y-x)+2)=(x-y)(3x-3y+2)
4a(x-2)²-2b(2-x)³=(x-2)²(4a+2b(x-2))=(x-2)²(4a+2bx-4b)
6x³y(x-y)³-4xy³(y-x)²=4xy(x²(x-y)²-...

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3(y-x)²+2(x-y)=(x-y)(-3(y-x)+2)=(x-y)(3x-3y+2)
4a(x-2)²-2b(2-x)³=(x-2)²(4a+2b(x-2))=(x-2)²(4a+2bx-4b)
6x³y(x-y)³-4xy³(y-x)²=4xy(x²(x-y)²-y²(y-x)²)=4xy(x-y)²(x²-y²)=4xy(x-y)²(x-y)(x+y)
a(x-y)-b(y-x)+c(x-y)=(a+b+c)(x-y)
m²(x-2)+(2-x)=(m²-1)(x-2)

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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...

全部展开

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

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