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Addition and Subtraction of Algebraic Expression

If m-1/m=5 th...

Question

If $m - \frac{1}{m} = 5$ then find the value of m $\times m + \frac{1}{m \times m}$ .

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Solution

$m - \frac{1}{m} = 5$
Find $m^{2} + \frac{1}{m^{2}}$
${(m - \frac{1}{m})}^{2} = (5)^{2} m^{2} - 2 m (\frac{1}{m}) + \frac{1}{m^{2}} = 25 x^{2} - 2 + \frac{1}{m^{2}} = 25 + 2 = 27$

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