Question

运用公式法：将下列多项式是因式分解：（x+y+z)²-(x-y-z)²

Answer 1

（x+y+z)^2-(x-y-z)^2
=[（x+y+z)+(x-y-z)][（x+y+z)-(x-y-z)]
=2x(2y+2z)
=4x(y+z)

Answer 2

（x+y+z)²-(x-y-z)²
=(x+y+z+x-y-z)(x+y+z-x+y+z)
=2x(2y+2z)
=4x(y+z)