Question

2(x-y)-(x-y)² 6（m-n)²+3(m-n) 因式分解分解到不能分为止

Answer 1

2(x-y)-(x-y)²
=2(x-y)[1-(x-y)] 提取公因式
=2(x-y)(1-x+y)

6（m-n)²+3(m-n)
=3(m-n)【2（m-n）+1】 提取公因式
=3(m-n)(2m-2n+1)

Answer 2

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

6（m-n)²+3(m-n)
=6(m-n)(m+n)+3(m-n)
=3(m+n)[2(m-n)+1]
=3(m+n)(2m-2n+1)