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Factor the expression. 36x^2−49

1 Answer

3 votes

Answer:


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

Step-by-step explanation:

Given the below expression;


36x^2-49^{}

Since both terms are perfect squares, we can rewrite the above expression as;


(6x)^2-7^2

We can now apply the below difference of squares formula;


a^2-b^2=(a+b)(a-b)

If we compare the above formula with our expression, we can see that a = 6x and b = 7.

Let's go ahead and substitute;


(6x)^2-7^2=(6x+7)(6x-7)

User Deedra
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