Work Step by Step
This is a perfect square trinomial in the following manner $$ am^2-14am+49a=a(m^2-14m+49)=a(m-7)(m-7) .$$ One can check as follows $$ a(m-7)(m-7)=a(m^2-7m-7m+49)=a(m^2-14m+49)=am^2-14am+49a .$$
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