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

Factor( special patterns): 36x^2-84x+49-example-1

2 Answers

14 votes
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User Bhavesh Vadalia
by
3.3k points
7 votes

Answer:

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

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).

User Armin Bu
by
3.2k points