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CUET
General Test
Quantitative Reasoning
Algebra
Find the value of $ ( p + 2q)^2 - (p -2q)^2$
10pq
8 pq
4 pq
6 pq
We know that,
a2 - b2 = (a + b)(a - b).
(p + 2q)2 - (p - 2q)2
= (p + 2q)2 - (p - 2q)2
= p2 + 4q2 + 4pq - p2 - 4q2 + 4pq
= 8pq.