Question on: JAMB Mathematics - 1991

Evaluate x2(x2 - 1)-(\frac{1}{2}) - (x2 - 1)(\frac{1}{2})

A
(x2 - 1)-\(\frac{1}{2}\)
B
(x2 - 1)1
C
(x2 - 1)
D
(x2 - 1)-1
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Correct Option: A

x2(x2 - 1)-(\frac{1}{2}) - (x2 - 1)(\frac{1}{2}) = (\frac{x^2}{(x^2 - 1)^\frac{1}{2}}) - (\frac{(x^2 - 1)^\frac{1}{2}}{1})

= (\frac{x^2 - (x^2 - 1)}{(x^2 - 1) ^\frac{1}{2}})

= (\frac{x^2 - x^2 + 1}{(x^2 - 1)^\frac{1}{2}})

= (x2 - 1)-(\frac{1}{2})

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