Answer
$(5x-6)^2$
Work Step by Step
RECALL:
A perfect square trinomial can be factored using either of the following formulas:
(i) $a^2+2ab+b^2=(a+b)^2$
(ii) $a^2-2ab+b^2=(a-b)^2$
The given trinomial can be written as:
$=(5x)^2-2(5x)(6)+6^2$
The trinomial above is a perfect square trinomial of the form $a^2-2ab+b^2$, where $a=5x$ and $b=6$.
Factor the trinomial using formula (ii) above to obtain:
$=(5x-6)^2$
