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Factorisation Using Algebraic Identities

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Question

Question 92 (xxx)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$x^{2} - \frac{y^{2}}{100}$

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Solution

$x^{2} - \frac{y^{2}}{100} = x^{2} - {(\frac{y}{10})}^{2} = (x + \frac{y}{10}) (x - \frac{y}{10})$

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