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3(y-x)²+2(x-y)分解因式3(y-x)²+2(x-y)x(a-1)(a-2)-y(1-a)-y(1-a)(2-a)8a(a-b)²-12(b-a)³m²(x-y)+n²(y-x)分解因式
题目详情
3(y-x)²+2(x-y) 分解因式
3(y-x)²+2(x-y) x(a-1)(a-2)-y(1-a)-y(1-a)(2-a)
8a(a-b)²-12(b-a)³ m²(x-y)+n²(y-x) 分解因式
3(y-x)²+2(x-y) x(a-1)(a-2)-y(1-a)-y(1-a)(2-a)
8a(a-b)²-12(b-a)³ m²(x-y)+n²(y-x) 分解因式
▼优质解答
答案和解析
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)
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