Evaluate (x + 1x 1 x + 1)2 - (x + 1x 1 x + 1)2

Assessment: JAMB UTME - Mathematics - 1993 Subject: General Mathematics

Question 1 Report

Evaluate (x + $\frac{1}{x}$ + 1)2 - (x + $\frac{1}{x}$ + 1)2

4x2

(

\frac{2}{x}

+ 2)2

4

4(1 + x)

Answer Details

(x + $\frac{1}{x}$ + 1)2 - (x + $\frac{1}{x}$ + 1)2
= (x + $\frac{1}{x}$ + 1 + x + $\frac{- 1}{x}$ - 1)(x - $\frac{1}{x}$ + 1 - x + $\frac{1}{x}$ + 1)
= (2x) (2 + $\frac{2}{x}$ ) = 2x x 2(1 + $\frac{1}{x}$ )
4x (1 + $\frac{1}{x}$ ) = 4x + 4
= 4(1 + x)

Read lesson note on Quadratic Equations (WAEC)

Quadratic Equations

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