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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