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Q.

Factor of x3 – 1 is.

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a

      ( x – 1 )( x2 + x - 1)

b

      ( x – 1 )( x2 - x - 1)

c

      ( x + 1 )( x2 + x + 1)

d

      ( x – 1 )( x2 + x + 1)  

answer is D.

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Detailed Solution

By observing the question we can see it is in the form of the formula.
a3 - b3 = (a - b) (a2 + ab + b2)
on evaluating the given equation we get
x3 – 13 = (x - 1) (x2 + x.1 + 12)
x3 – 13 =( x – 1 )( x2 + x + 1)
    
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