Factor. \[ m^{2}+10 m+16 \]

To factor the quadratic expression \( m^{2}+10 m+16 \), we look for two numbers that multiply to the constant term (16) and add up to the linear coefficient (10). These numbers are 2 and 8, since \( 2 \times 8 = 16 \) and \( 2 + 8 = 10 \). Thus, we can write the factored form as: \[ (m + 2)(m + 8) \] Now you can see that by expanding \( (m + 2)(m + 8) \) back out, you'll get \( m^{2} + 10m + 16 \) again, confirming that the factorization is indeed correct!