Evaluate x2 x2 - 1 - frac 1 2 - x2 - 1 frac 1 2 - JAMB Mathematics 1991 Question
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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