(m-2n)^2+m(m-2n)+(m^2-4n^2)因式分解_数学解答

(m-2n)^2+m(m-2n)+(m^2-4n^2)因式分解

人气：383 ℃　时间：2020-03-28 14:52:57

解答

解
(m-2n)²+m(m-2n)+(m²-4n²)
=(m-2n)²+m(m-2n)+(m-2n)(m+2n)
=(m-2n)[(m-2n)+m+(m+2n)]
=(m-2n)(2m-2n+m+2n)
=3m(m-2n)