Question

Factor completely 36x2 − 25.
Select one:
a. (6x − 5)(x + 5)
b. (6x + 5)(6x + 5)
c. (6x − 5)(6x − 5)
d. (6x + 5)(6x − 5)

Answer 1

36x^2 - 25 = 
(6x - 5)(6x + 5) <===

Answer 2

Answer:

Option (d) is correct.

The factored form of the given polynomial $36x^2-25$  is $(6x+5)(6x-5)$

Step-by-step explanation:

Given: Polynomial $36x^2-25$

We have to factorize the given polynomial $36x^2-25$ completely and choose the correct option from the given options.

Consider the given polynomial $36x^2-25$

We can rewrite the given polynomial a square of two terms,

$36x^2-25=(6x)^2-5^2$

Now, applying algebraic identity

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

Thus, $(6x)^2-5^2=(6x+5)(6x-5)$

Thus, The factored form of the given polynomial $36x^2-25$  is $(6x+5)(6x-5)$