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Factorisation of Quadratic Polynomials

Question 92 x...

Question

Question 92 (xiii)

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

$\frac{x^{2}}{8} - \frac{y^{2}}{18}$

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Solution

$\frac{x^{2}}{8} - \frac{y^{2}}{18} = \frac{1}{2} (\frac{x^{2}}{4} - \frac{y^{2}}{9}) = \frac{1}{2} [{(\frac{x}{2})}^{2} - {(\frac{y}{3})}^{2}] = \frac{1}{2} (\frac{x}{2} + \frac{y}{3}) (\frac{x}{2} - \frac{y}{3})$

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Factorisation of Quadratic Polynomials

Standard X Mathematics

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