问题
解答题
分解因式:9(x+y+z)2-(x-y-z)2.
答案
原式=(3x+3y+3z-x+y+z)(3x+3y+3z+x-y-z)
=(2x+4y+4z)(4x+2y+2z)
=4(x+2y+2z)(2x+y+z).
分解因式:9(x+y+z)2-(x-y-z)2.
原式=(3x+3y+3z-x+y+z)(3x+3y+3z+x-y-z)
=(2x+4y+4z)(4x+2y+2z)
=4(x+2y+2z)(2x+y+z).