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04-02-2022
Mathematics

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

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04-02-2022

Answer:

24ab

Step-by-step 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

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