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Question
Find the value of a, if pq2a = (4pq + 3q)2 – (4pq – 3q)2
Solution
We have,
pq2a = (4pq + 3q)2 – (4pq – 3q)2
⇒ [(4pq + 3q) + (4pq – 3q)][(4pq + 3q) – (4pq – 3q)] ...[Using the identity, a2 – b2 = (a + b)(a – b)]
⇒ (4pq + 3q + 4pq – 3q)(4pq + 3q – 4pq + 3q)
⇒ 8pq × 6q
⇒ pq2a = 48pq2
⇒ `a = (48pq^2)/(pq^2)`
⇒ a = 48
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