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Solving a Quadratic Equation by Completion of Squares Method

Simplify the ...

Question

Simplify the following expressions:
$(25 m^{2} - 4 n^{2}) \div (5 m + 2 n)$

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Solution

$\frac{25 m^{2} - 4 n^{2}}{5 m + 2 n}$
$= \frac{(5 m)^{2} - (2 n)^{2}}{5 m + 2 n}$
$= \frac{(5 m - 2 n) (5 m + 2 n)}{5 m + 2 n}$
$= 5 m - 2 n$

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