factor completely.\n16m² - 56m + 49

Explanation:

Step1: Identify the form

The expression $16m^{2}-56m + 49$ is in the form of $a^{2}-2ab + b^{2}$, where $a = 4m$ ($a^{2}=16m^{2}$) and $b = 7$ ($b^{2}=49$), and $2ab=2\times4m\times7 = 56m$.

Step2: Apply the perfect - square formula

The perfect - square formula is $a^{2}-2ab + b^{2}=(a - b)^{2}$. Substituting $a = 4m$ and $b = 7$ into the formula, we get $(4m-7)^{2}$.

Answer:

$(4m - 7)^{2}$