Mathematics

Evaluate:

(2a + 3) (2a - 3) (4a2 + 9)

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Answer

(2a + 3) (2a - 3) (4a2 + 9)

Using the formula

[∵ (x + y)(x - y) = x2 - y2]

= [(2a)2 - 32] (4a2 + 9)

= (4a2 - 92) (4a2 + 9)

= (4a2)2 - 92

= 16a4 - 81

Hence, (2a + 3) (2a - 3) (4a2 + 9) = 16a4 - 81

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