Question

Factor( special patterns): 36x^2-84x+49

Answer 1

Kdjdjrj did brisk ieendidndn

Answer 2

Answer:

(6x - 7) (6x - 7)

Step-by-step explanation:

A perfect square trinomial will be in the form of $a^2$ ± $2ab + b^2.$ A trick to factoring a perfect square trinomial would to write it as $(a^2$±$b^2)$. (When doing this, the sign in the middle is determined by the middle sign in the original trinomial).

$36x^2 -84x + 49$ is known as a perfect square trinomial, too. Its first and last terms are both perfect squares (6x squared makes $36x^2$, 7 squared makes 49) and the middle term is 2 times the square roots of both of the other terms ( $(2) (7) (6x)$ is $84x$).

So, we can use the trick described earlier, and the answer would be $(6x-7)^2$, also known as (6x-7) (6x-7).