Simplify the expression
$(36 p^2 + 49 q^2)(6p + 7q)(6p - 7q)$
Answer & explanation
Correct answer: option 3
Given,
(36 p2 + 49 q2) (6p + 7q) (6p − 7q)
We know that,
a2 - b2 = (a + b)(a - b)
So,
(36p2 + 49q2) (6p + 7q) (6p − 7q)
= (36p2 + 49q2) (36p2 − 49q2)
Let 36p2 = m and
49q2 = n
So, (36p2 + 49q2) (36p2 − 49q2) = (a + b)(a - b)
= a2 - b2
a2 - b2 = (36p2)2 − (49q2)2
= 1296p4 - 2401q4