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Mathematics

Evaluate:

(3 - 2x) (3 + 2x) (9 + 4x2)

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Answer

(3 - 2x) (3 + 2x) (9 + 4x2)

Using the formula

[∵ (x + y)(x - y) = x2 - y2]

= (32 - (2x)2) (9 + 4x2)

= (9 - 4x2) (9 + 4x2)

= 92 - (4x2)2

= 81 - 16x4

Hence, (3 - 2x) (3 + 2x) (9 + 4x2) = 81 - 16x4

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