Which expression is equivalent to 36x2 − 25?

General
1

which expression is equivalent to 36x2 − 25?

2

Which expression is equivalent to 36x^2 − 25?

Answer: To determine which expression is equivalent to (36x^2 - 25), we need to recognize that this can be factored using the difference of squares formula. The difference of squares formula states that:

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

In this case, we can rewrite (36x^2 - 25) as:

(6x)^2 - 5^2

Here, (a = 6x) and (b = 5). Using the difference of squares formula, we factor it as follows:

(6x)^2 - 5^2 = (6x - 5)(6x + 5)

Therefore, the expression equivalent to (36x^2 - 25) is:

(6x - 5)(6x + 5)

So, the equivalent expression to 36x^2 - 25 is \boxed{(6x - 5)(6x + 5)}