Mathematics
Evaluate:
(3x - 4y) (3x + 4y) (9x2 + 16y2)
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Answer
(3x - 4y) (3x + 4y) (9x2 + 16y2)
Using the formula
[∵ (x + y)(x - y) = x2 - y2]
= [(3x)2 - (4y)2] (9x2 + 16y2)
= (9x2 - 16y2) (9x2 + 16y2)
= (9x2)2 - (16y2)2
= 81x4 - 256y4
Hence, (3x - 4y) (3x + 4y) (9x2 + 16y2) = 81x4 - 256y4
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