3道分解因式

1. 4ab(a+b)-6a²b(a+b)
=2[2ab(a+b)]-3a[2ab(a+b)]
=2ab(2-3a)(a+b)

2. (x+y)²(x-y)+(x+y)(x-y)²
=(x+y)(x-y)[(x+y)+(x-y)]
=2x(x+y)(x-y)

3. 2a(a-3)²-6a²(3-a)+8a(a-3)
=2a(a-3)[(a-3)+3a+4]
=2a(a-3)(4a+1)

4ab(a+b)^2-6a^2b(a+b)
=2ab(a+b)[2(a+b)-3a]
=2ab(a+b)(2b-a)

(x+y)^2(x-y)+(x+y)(x-y)^2
=(x+y)(x-y)[(x+y)+(x-y)]
=2a(x+y)(x-y)

2a(a-3)²-6a²(3-a)+8a(a-3)
=2a(a-3)[(a-3)-3a+4]
=2a(a-3)(-2a+1)
=2a(a-3)(1-2a)

1题：=2ab(a+b)(2-3a)
2题：=(x+y)(x+y)(x-y)+(x+y)(x-y)(x-y)
=(x+y)(x-y)(x+y+x-y)
=2x(x+y)(x-y)
3题：=2a(a-3)[(a-3)+3a+4]
=2a(a-3)(4a+1)