(x减2y加z)(x加2y减z)等于什么

问题描述:

(x减2y加z)(x加2y减z)等于什么

(x-2y+z)(x+2y-z)=【x-(2y-z)】(x+2y-z)=x²-(2y-z)²

(x减2y加z)(x加2y减z)
={x-(2y-z)}{x+(2y-z)}
=x²-(2y-z)²
=x²-4y²+2yz-z²

(x - 2 y + z)(x + 2 y - z)
= [ x -(2 y - z)] [ x + (2 y - z)]
= x ² - (2 y - z)²
= x ² - 【(2 y )² - 2 × 2 y × z + z ² 】
= x ² - 【 4 y ² - 4 y z + z ² 】
= x ² - 4 y ² + 4 y z - z ²