Evaluate x2(x2 - 1)-12 1 2 - (x2 - 1)12

Assessment: JAMB UTME - Mathematics - 1991 Subject: General Mathematics

Question 1 Report

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

(x2 - 1)-

\frac{1}{2}

(x2 - 1)1

(x2 - 1)

(x2 - 1)-1

Answer Details

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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