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Factories 2a3+16b3-5a-10b |
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Answer» 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)(a^2-ab+b^2) = > 2(a + 2B)(a^2 - 2ab + 4b^2) - 5a - 10b = > 2(a + 2b)(a^2 - 2ab + 4b^2) - 5(a + 2b) = > (a + 2b)(2(a^2 -2ab + 4b^2) - 5) = > (a + 2b)(2a^2 - 4ab + 8b^2 - 5) Therefore the equation can be factorized as (a + 2b)(2a^2 - 4ab + 8b^2 - 5). |
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