计算 ①(a+b)²-(a-b) ②(a+b-c)² ③(x-y+z)(x+y+z)
问题描述:
计算 ①(a+b)²-(a-b) ②(a+b-c)² ③(x-y+z)(x+y+z)
答
①(a+b)²-(a-b)²
=a²+2ab+b²-a²+2ab-b²
=4ab
②(a+b-c)²
=a²+b²+c²+2ab-2ac-2bc
③(x-y+z)(x+y+z)
=(x+z)²-y²
=x²+2xz+z²-y²