(a+2b-1)²与(2x+y+z)(2x-y-z)这两题请详解,

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/13 10:13:29

(a+2b-1)²与(2x+y+z)(2x-y-z)这两题请详解,
(a+2b-1)²与(2x+y+z)(2x-y-z)这两题请详解,

(a+2b-1)²与(2x+y+z)(2x-y-z)这两题请详解,
你是要这两个展开么?第一个(a+2b-1)²=[a+(2b-1)]²=a²+2a(2b-1)+(2b-1)²=a²+4ab-2a+4b²-4b+1 (2x+y+z)(2x-y-z)=[2x+(y+z)][2x-(y+z)]=4x²-2x(y+z)+2x(y+z)-(y+z)²=4x²-y²-2yz-z²

(a+2b-1)²
=(a+2b)²-2(a+2b)+1
=a²+4ab+4b²-2a-4b+1

(2x+y+z)(2x-y-z)
=[2x+(y+z)][2x-(y+z)]
=(2x)²-(y+z)²
=4x²-y²-2yz-z²

(a+2b-1)²
=(a+2b)²-2(a+2b)+1
=a²+4ab+4b²-2a-4b+1

(2x+y+z)(2x-y-z)
=(2x)²-(y+z)²
=4x²-y²-2yz-z²