Question

which expression is equivalent to 36x2 − 25? (18x)2 (−5)2 (18x)2 − (5)2 (6x)2 (−5)2 (6x)2 − (5)2

Answer 1

36x^2 -25 wan being difference of two squares bc. there are (6x)^2 -5^2 and this is equal using the difference of two squares formula (6x-5)(6x+5)

hope this will help you 

Answer 2

Note that

$36=6^2,\\ 25=5^2$

and

$a^2\cdot b^2=(ab)^2$

Then

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

Use the formula for difference of the squares:

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

Thus,

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

Answer: correct choice is D.