Mathematics
Evaluate (4a + 3b)2 - (4a - 3b)2 + 48ab
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Answer
Solving,
⇒ (4a + 3b)2 - (4a - 3b)2 + 48ab
⇒ (4a)2 + (3b)2 + 2 × 4a × 3b - [(4a)2 + (3b)2 - 2 × 4a × 3b] + 48ab
⇒ 16a2 + 9b2 + 24ab - [16a2 + 9b2 - 24ab] + 48ab
⇒ 16a2 + 9b2 + 24ab - 16a2 - 9b2 + 24ab + 48ab
⇒ 96ab.
Hence, (4a + 3b)2 - (4a - 3b)2 + 48ab = 96ab.
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