Q10 of 227 Page 114

The LCM of x3 – a3 and (x - a)2 is

Given two polynomials: x3 – a3 and (x - a)2

Required: To find LCM of the given two polynomials


Let f(x) = x3 – a3 and g(x) = (x - a)2


here,


f(x) = x3 – a3


⇒f(x) = (x-a)(x2 + a2 + xa)


g(x) = (x - a)2


⇒g(x) = (x-a)(x-a)


∴ LCM = (x-a) (x2 + a2 + xa) (x-a) = (x-a)2(x2 + a2 + xa)


∴ Correct Option is - Option (C)

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