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Question
Simplify:
(1.5p + 1.2q)2 – (1.5p – 1.2q)2
Solution
We have,
(1.5p + 1.2q)2 – (1.5p – 1.2q)2 = [(1.5p + 1.2q) + (1.5p – 1.2q)][(1.5p + 1.2q) – (1.5p – 1.2q)] ...[Using the identity, a2 – b2 = (a + b)(a – b)]
= [(1.5p + 1.5p) + (1.2q – 1.2q)][(1.5p – 1.5p) + (1.2q + 1.2q)]
= 3p × 2.4q
= 7.2pq
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