Exams › SSC CGL (Prelims) › General

If a + b = 6 and ab = 4, what is the value of a^3 + b^3?

1. 81
2. 64
3. 144
4. 256

Correct answer: 144

Solution

Using the algebraic identity a^3+b^3 = (a+b)^3 - 3ab(a+b) = 6^3 - 3(4)(6) = 216 - 72 = 144.

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