Find the value of a^3 + b^3, when a + b = 4 and ab = 3?
- 28
- 29
- 30
- None of these
Explanation
Given:
a + b = 4
ab = 3
The formula for a^3 + b^3 is:
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
However, a simpler approach uses the identity:
a^3 + b^3 = (a + b)^3 - 3ab(a + b)
Plugging in the values:
a^3 + b^3 = (4)^3 - 3(3)(4)
= 64 - 36
= 28
Related MCQs
- Commutative
- Associative
- Distributive
- None of these
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- 233
- 133
- 333
- None of these
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