Question
If [4a - (1/2a)] = 6, then find the value of [16a² +
(1/4a²) - 8]Solution
[4a - (1/2a)] = 6
On squaring both sides,
Or, 16a² + (1/4a²) - 2 × 4a × (1/2a) = 36
Or, 16a² + (1/4a²) - 4 = 36
So, 16a² + (1/4a²) = 40
Required value = 40 - 8 = 32
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