-9(x+y)²+(x-y)² 因式分解
问题描述:
-9(x+y)²+(x-y)² 因式分解
答
-9(x+y)²+(x-y)²
=(x-y)² -[3(x+y)]²
=[(x-y)-3(x+y)][(x-y)+3(x+y)]
=(x-y-3x-3y)(x-y+3x+3y)
=-(2x+4y)(4x+2y)
=-4(x+2y)(2x+y)