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a) If $a + frac{1}{a} = 3$, find the values of (i) $a^2 + frac{1}{a^2}$ (ii) $left(a – frac{1}{a}right)^2$

b) If $x + frac{1}{x} = 5$, find the values of (i) $x^2 + frac{1}{x^2}$ (ii) $left(x – frac{1}{x}right)^2$

c) If $p – frac{1}{p} = 4$, find the values of (i) $p^2 + frac{1}{p^2}$ (ii) $left(p + frac{1}{p}right)^2$

1 Marks

a) If $a + frac{1}{a} = 3$, find the values of (i) $a^2 + frac{1}{a^2}$ (ii) $left(a – frac{1}{a}right)^2$

b) If $x + frac{1}{x} = 5$, find the values of (i) $x^2 + frac{1}{x^2}$ (ii) $left(x – frac{1}{x}right)^2$

c) If $p – frac{1}{p} = 4$, find the values of (i) $p^2 + frac{1}{p^2}$ (ii) $left(p + frac{1}{p}right)^2$

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