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Which of the following is the factor of $4 a 2 − 9$ ?

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(2 a + 3) (2 a - 3)

(2 a + 3) (2 a + 3)

(a + 3) (2 a + 3)

(2 a - 3) (2 a - 3)

answer is A.

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Detailed Solution

Given,

4 a 2 − 9

We know that,

(a + b) (a − b) = a 2 − b 2

Rearranging the given expression,

⇒ 2 a 2 − 32

Then,

= 2 a + 3 2 a − 3

Hence, factors of

4 a 2 − 9 = 2 a + 3 2 a − 3

.
Therefore, option 1 is correct.

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