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Factorising Expressions of the Form (x+a)(x+b)

Question 92 x...

Question

Question 92 (xiv)

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

$\frac{4 x^{2}}{9} - \frac{9 y^{2}}{16}$

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Solution

$\frac{4 x^{2}}{9} - \frac{9 y^{2}}{16} = {(\frac{2 x}{3})}^{2} - {(\frac{3 y}{4})}^{2} = (\frac{2 x}{3} + \frac{3 y}{4}) (\frac{2 x}{3} - \frac{3 y}{4})$

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Factorising Expressions of the Form (x+a)(x+b)

Standard VIII Mathematics

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