If a² + b² = 18 and a + b = 8, the value of ab is?
- 23
- 22
- 24
- None of these
Explanation
Using the Given Equations
Given: a^2 + b^2 = 18 and a + b = 8
Squaring the Second Equation
(a + b)^2 = 8^2
a^2 + 2ab + b^2 = 64
Substituting a^2 + b^2 = 18
18 + 2ab = 64
Solving for ab
2ab = 64 - 18
2ab = 46
ab = 23
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