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what is a3+8b3 if a+2b=7 and a*b=5

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what is a3+8b3 if a+2b=7 and a*b=5

    • Posted by Skn Sat 8 years, 10 months ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Naveen Sharma 8 years, 10 months ago

    Ans. We know 

    x3+y3= (x+y)(x2+y2+xy)  ......(1)

    and

    x2+y2 = (x+y)2  - 2xy .....(2)

    put value x2+y2 from (2) in (1), we get

    x3+y3 =(x+y)[(x+y)2 -xy]   ...(3)

    we need to find 

    a3+8b3 can be written as

    => a3+ (2b)3 = (a+2b)[(a+2b)2 -2a*b]

    put given values, we get

    => a3+8b3= (7)[(7)2 - 2*5]

    => (7)(39)

    => 273 

    0Thank You

    ANSWER
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    CBSE > Class 09 > Mathematics
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    CBSE > Class 09 > Mathematics
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