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Simplify using identities (2a+3b)^2 - (2a-3b)^2

User Essential
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1 Answer

8 votes

Answer:

24ab

Explanation:

Here, the identity A² - B² = (A + B) (A- B) will be used ; A = 2a + 3b, b = 2a - 3b.

=> (2a + 3b + 2a - 3b) (2a + 3b - (2a - 3b))

=> (4a) (2a + 3b - 2a + 3b)

=> (4a) (6b)

=> 24ab

Hope it helps :)

User Nikhil Vartak
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5.0k points