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Expansions (Including Substitution) — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSExpansions (Including Substitution)2 Marks
Question
Expand $: \left(x-\frac{1}{x}+5\right)^2$
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Answer

$ \left(x-\frac{1}{x}+5\right)^2$
$=(x)^2+\left(\frac{1}{x}\right)^2+(5)^2-2(x)\left(\frac{1}{x}\right)-2\left(\frac{1}{x}\right)(5)+2(5)(x)$
$ =x^2+\frac{1}{x^2}+25-2-\frac{10}{x}+10 x$
$ =x^2+\frac{1}{x^2}+23-\frac{10}{x}+10 x$

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