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  1. If x + y = a and xy = b² , then the value of x³ – x²y - xy² + y³ in terms of a and b is :
    1. (a² + 4b²)a
    2. a³ – 3b²
    3. a³ - 4b²a
    4. a³ + 3b²
Correct Option: C

x3 - x2y - xy2 + y3 = x3 + y3 - x2y - xy2
= (x + y)3 - 3xy(x + y) – xy(x + y)
= (x + y)3 - 4xy(x + y) = a3 - 4b2a


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