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