4(x+y)^2-20(x+y-1)+5因式分解_数学解答

4(x+y)^2-20(x+y-1)+5因式分解

人气：206 ℃　时间：2020-05-23 02:28:44

解答

4(x+y)^2-20(x+y-1)+5
=4(x+y)^2-20(x+y)+20+5
=4(x+y)^2-20(x+y)+25
=[2(x+y)]^2-2*[2(x+y)]*5+5^2
=[2(x+y)-5]^2
=(2x+2y-5)^2