分解因式:3a(x-y)m的二次方+12a(y-x)n的二次方

问题描述:

分解因式:3a(x-y)m的二次方+12a(y-x)n的二次方

3a(x-y)m²+12a(y-x)n²
=3a(x-y)m²-12a(x-y)n²
=3a(x-y)(m²-4n²)
=3a(x-y)[m²-(2n)²]
=3a(x-y)(m+2n)(m-2n)