数学多项式因式分解题

问题描述:

数学多项式因式分解题
1.2a^2-8分之一b^2 2.a^3+4a^2b+4ab^2 3.a^2(x-y)+b^2(y-x)

1.2a^2-8分之一b^2
=(16a²-b²)/8
=(4a+b)(4a-b)/16
2.a^3+4a^2b+4ab^2
=a(a²+4ab+4b²)
=a(a+2b)²
3.a^2(x-y)+b^2(y-x)
=a²(x-y)-b²(x-y)
=(x-y)(a²-b²)
=(x-y)(a+b)(a-b)