Question

m²(m+n)²-n²(m-n)² 分解因式

要过程，简单点

Answer 1

m²慧碰(m+n)²洞袜-n²(m-n)²纳碧激
=[m(m+n)+n(m-n)][m(m+n)-n(m-n)]
=(m^2+mn+mn-n^2)(m^2+mn-mn+n^2)
=(m^2+2mn-n^2)(m^2+n^2)

Answer 2

m"( m + n )" - n"( m - n )"
= [ m( m + n ) ]" - [ n( m - n ) ]"则返拆
= ( m" + mn )" - ( mn - n" )"
= [ ( m"世前 + mn ) + ( mn - n" ) ][ ( m" + mn ) - ( mn - n" ) ]
= ( m" + mn + mn - n" )( m" + mn - mn + n" )
= ( m" + 2mn - n" )( m"孙枣 + n" )