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Question
Simplify:
(s2t + tq2)2 – (2stq)2
Solution
We have,
(s2t + tq2)2 – (2stq)2 = (s2t)2 + (tq2)2 + 2 × s2t × tq2 – 4s2t2q2 ...[Using the identity, (a + b)2 = a2 + b2 + 2ab]
= s4t2 + t2q4 + 2s2t2q2 – 4s2t2q2
= s4t2 + t2q4 – 2s2t2q2
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