Question

用提公因式法分解因式,数学好的进

1.2a^2b-8ab^2
2.5(x-y)-6mn(x-y)
3.a(x-3)+2b(3-x)
4.5(y-x)^3+10(x-y)^2

Answer 1

1 2a²b-8ab²
=2ab(a-4b)
2 5(x-y)-6mn(x-y)
=(x-y)(5-6mn)
3 a(x-3)+2b(3-x)
=(x-3)(a-2b
4 5(y-x)³+10(x-y)²
=(y-x)²(5y-5x+2)

追问

可以把过程写出来吗??

追答

1 2a²b-8ab²
=a×2ab-4b×2ab
=2ab(a-4b)
2 5(x-y)-6mn(x-y)
=(x-y)(5-6mn)
3 a(x-3)+2b(3-x)
=a(x-3)-2b(x-3)
=(x-3)(a-2b)
4 5(y-x)³+10(x-y)²
=5(y-x)³+10(y-x)²
=5(y-x)²×(y-x)+5(y-x)²×2
=5(y-x)²(y-x+2)

Answer 2

很简单 你把他们一样的放在一块 用公式 a(b-d）