Answer
$(7g-6)^{2}$
Work Step by Step
Given the polynomial
$(7g)^{2}$ - 84g + $(6)^{2}$
We see that the polynomial has the first and last term squared and the middle term is -2 times the first and last term. Thus it follows the rule of
$a^{2}$ - 2ab + $b^{2}$ = $(a-b)^{2}$
In this polynomial a= 7g and b=6
$(7g)^{2}$ - 2(7g)(6) + $(6)^{2}$ = $(7g-6)^{2}$
