Simplify the following expression:
(5a+3b)2-(5a-3b)2
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Answer:
Correct question :-
➠ (5a + 3b)² - (5a - 3b)² - 60ab
Formula used :-
➭ a² - b² = (a + b) (a - b)
Answer :-
➠ (5a + 3b)² - (5a - 3b)² - 60ab
➻ {(5a + 3b) + (5a - 3b)} {(5a + 3b) - (5a - 3b)} - 60ab
➻ (5a + 3b + 5a - 3b) (5a + 3b - 5a + 3b) - 60ab
➻ (5a + 5a + 3b - 3b) (5a - 5a + 3b + 3b) - 60ab
➻ (10a) (6b) - 60ab
➻ 10a × 6b - 60ab
➻ 60ab - 60ab
➻ 0
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