Factorize. 2a³+16b³-5a-10b
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Posted by Suneel Kumar 6 years ago
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Yogita Ingle 6 years ago
Given Equation is 2a^3 + 16b^3 - 5a - 10b.
This can be written as
2(a^3 + 8b^3) - 5a - 10b
We know that a 3 + b 3 = (a+b)(a2-ab+b2)
= > 2(a + 2b)(a2 - 2ab + 4b2) - 5a - 10b
= > 2(a + 2b)(a2 - 2ab + 4b2) - 5(a + 2b)
= > (a + 2b)(2(a 2 -2ab + 4b2) - 5)
= > (a + 2b)(2a2 - 4ab + 8b2 - 5)
Therefore the equation can be factorized as (a + 2b)(2a2 - 4ab + 8b2 - 5)
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