因式分解(3x-y)² -(2x+y)² -(y+3x)(3x-y)

问题描述:

因式分解(3x-y)² -(2x+y)² -(y+3x)(3x-y)
因式分解(3x-y)²-(2x+y)²-(y+3x)(3x-y)

(3x-y)²-(2x+y)²-(y+3x)(3x-y)
=(3x-y)²-(2x+y)²-(3x+y)(3x-y)
=(3x-y)²-(2x+y)²-[(3x)²-y²]
= 9x²- 6xy + y²- ( 4x²+4xy+y²)-(9x²-y²)
= 9x²- 6xy + y²- 4x²-4xy-y²-9x²+y²
= y²-10xy-4x²