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m²(m+n)²-n²(m-n)²
=[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)
=[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)
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m"( m + n )" - n"( m - n )"
= [ m( m + n ) ]" - [ n( m - n ) ]"
= ( m" + mn )" - ( mn - n" )"
= [ ( m" + mn ) + ( mn - n" ) ][ ( m" + mn ) - ( mn - n" ) ]
= ( m" + mn + mn - n" )( m" + mn - mn + n" )
= ( m" + 2mn - n" )( m" + n" )
= [ m( m + n ) ]" - [ n( m - n ) ]"
= ( m" + mn )" - ( mn - n" )"
= [ ( m" + mn ) + ( mn - n" ) ][ ( m" + mn ) - ( mn - n" ) ]
= ( m" + mn + mn - n" )( m" + mn - mn + n" )
= ( m" + 2mn - n" )( m" + n" )
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