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Factors of Algebraic Expressions and Factorisation

Simplify x2...

Question

Simplify $\frac{x^{2}}{9} - \frac{y^{2}}{4}$

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Solution

$\begin{matrix} \frac{x^{2}}{9} - \frac{y^{2}}{4} = {(\frac{x}{3})}^{2} - {(\frac{y}{2})}^{2} = (\frac{x}{3} - \frac{y}{2}) (\frac{x}{3} + \frac{x}{2}) [a^{2} - b^{2} = (a - b) (a + b)] \end{matrix}$

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