find the production using suitable identities 1. (3a+4b)(9a2-12ab+16b2)
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(3a+4b)(9a² - 12ab + 16b²)
= (3a+4b)[(3a)² - (3a)(4b) + (4b)²]
This is of the form (a+b)(a²-ab+b²) = a³+b³
Hence
(3a+4b)(9a²-12ab+16b²)
= (3a+4b)[(3a)² - (3a)(4b) + (4b)²]
= (3a)³ + (4b)³
= 27a³ + 64b³
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