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Multiple Choice Questions

What is the LCM of a3b ndash ab3 a3b2 a2b3 and ab a b ........

Quantitative Aptitude (RRB NTPC) Algebra
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    What is the LCM of a3b – ab3, a3b2 + a2b3 and ab(a + b)?

    a2b2(a2 – b2)

    Correct Answer

    ab(a2 – b2)

    Incorrect Answer

    a2b2 + ab3

    Incorrect Answer

    a3b3(a2 – b2)

    Incorrect Answer
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    Explanation:

    Let f(x) = a3b – ab3 = ab(a2 – b2)
    = ab(a – b)(a + b)
    g(x) = a3b2 + a2b3 = a2b2(a + b)
    and h(x) = ab(a + b) = ab(a + b)
    ∴ LCM of  [f(x), g(x), h(x)]  
    =  a2b2(a + b)(a – b)  =  a2b2 (a2 – b2)

    By: Amit Kumar
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