1 9(2m-2n)²-16(m-2n)²

问题描述:

1 9(2m-2n)²-16(m-2n)²
2 (a-1)²+b²(1-a)
3 a五次方-a
4 12a²x²-27b²y²
5 (x+2y)²-(x-3y)²

1 9(2m-2n)²-16(m-2n)²
=(6m-6n+4m-8n)(6m-6n-4m+8n)
=(10m-14n)(2m+2n)
=4(5m-7n)(m+n)
2 (a-1)²+b²(1-a)
=(a-1)²-b²(a-1)
=(a-1)(a-1-b²)
3 a五次方-a
=a(a的4次方-1)
=a(a²+1)(a²-1)
=a(a²+1)(a+1)(a-1)
4 12a²x²-27b²y²
=3(4a²x²-9b²y²)
=3(2ax+3by)(2ax-3by)
5 (x+2y)²-(x-3y)²
=(x+2y+x-3y)(x+2y-x+3y)
=5y(2x-y)