因式分解:(3x-y)(y+3x)-(4x-3y)(3y+4x)

问题描述:

因式分解:(3x-y)(y+3x)-(4x-3y)(3y+4x)

(3x-y)(y+3x)-(4x-3y)(3y+4x)=(3x-y)(3x+y)-(4x-3y)(4x+3y)=(3x)²-y²-[(4x)²-(3y)²]= 9x²-y²-16x²+9y²=8y²-7x²