计算(x+2y-3z)的平方+(x-2y+3z)(x+2y-3z)

问题描述:

计算(x+2y-3z)的平方+(x-2y+3z)(x+2y-3z)

(x+2y-3z)的平方+(x-2y+3z)(x+2y-3z)
=(x+2y-3z)(x+2y-3z+x-2y+3z)
=2x(x+2y-3z)

(x+2y-3z)^2+(x-2y+3z)(x+2y-3z)
=(x+2y-3z)[(x+2y-3z)+(x-2y+3z)]
=(x+2y-3z)(2x)
=2x(x+2y-3z)