Multiple Choice Questions on If xy x y 1 find the value of 1 x 3y 3 x 3 y 3 ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

If xy x y 1 find the value of 1 x 3y 3 x 3 y 3 ........

Quantitative Aptitude (CDS) Simplification
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    If xy(x+y)=1,find the value of (1/x^3y^3) -x^3 -y^3 ?

    3xy

    Incorrect Answer

    3xy(x+y)

    Correct Answer

    x^3 +y^3

    Incorrect Answer

    none of these

    Incorrect Answer
    Explanation:

    =xy(x+y)=1
    =x+y=1/xy
    taking cube of both side
    =(x+y)^3=1/x^3y^3.... equation1
    =(1/x^3y^3)  -x^3 -y^3
    putting equation1 value
    =(x+y)^3 -x^3 -y^3
    =x^3  +y^3 +3xy(x+y)-x^3 -y^3
    =3xy(x+y)

    By: bhavesh kumar singh
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