1000*a^3 %2B 27*b^6 – InterviewSolution

1.

1000a^3 %2B 27b^6

Answer»

1000a^3 + 27b^6

= (10a)^3 + (3b^2)^3

Now using identity,a^3 + b^3 = (a + b) (a^2 - ab + b^2)

= (10a + 3b^2)[(10a)^2 - 10a*3b^2 + (3b^2)^2]

= (10a + 3b^2)(100a^2 + 30ab^2 + 9b^4)

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