Answer:
(6x - 7) (6x - 7)
Step-by-step explanation:
A perfect square trinomial will be in the form of [tex]a^2[/tex] ± [tex]2ab + b^2.[/tex] A trick to factoring a perfect square trinomial would to write it as [tex](a^2[/tex]±[tex]b^2)[/tex]. (When doing this, the sign in the middle is determined by the middle sign in the original trinomial).
[tex]36x^2 -84x + 49[/tex] is known as a perfect square trinomial, too. Its first and last terms are both perfect squares (6x squared makes [tex]36x^2[/tex], 7 squared makes 49) and the middle term is 2 times the square roots of both of the other terms ( [tex](2) (7) (6x)[/tex] is [tex]84x[/tex]).
So, we can use the trick described earlier, and the answer would be [tex](6x-7)^2[/tex], also known as (6x-7) (6x-7).
