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Factorize. 2a³+16b³-5a-10b

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Factorize. 2a³+16b³-5a-10b

    • Posted by Suneel Kumar 6 years, 6 months ago

    CBSE > Class 09 > Mathematics
    • 2 answers

    Yogita Ingle 6 years, 6 months 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)

     

    0Thank You

    Pushpa Sakha 6 years, 6 months ago

    You should use identity

    0Thank You

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