整式乘法,若(2m+2n-1)(2m+2n+1)=63,求m+n
问题描述:
整式乘法,若(2m+2n-1)(2m+2n+1)=63,求m+n
答
(2m+2n-1)(2m+2n+1)=63
[(2m+2n)-1]*[(2m+2n)+1]=63
(2m+2n)^2-1=63
(2m+2n)^2=64
2m+2n=8或2m+2n=-8
所以m+n=4或-4
学习愉快!