m 2 + 16 m + 64 = m 2 + 8 m + 8 m + 64 = m ( m + 8 ) + 8 ( m + 8 ) = = ( m + 8 ) ( m + 8 ) = ( m + 8 ) 2
The quadratic expression m 2 + 16 m + 64 can be factored as ( m + 8 ) 2 . This indicates that it is a perfect square trinomial. Thus, the final factorization is ( m + 8 ) ( m + 8 ) .
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