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Factorisation Using Algebraic Identities

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Question

Question 92 (ix)

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

$\frac{2 p^{2}}{25} - 32 q^{2}$

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Solution

$\frac{2 p^{2}}{25} - 32 q^{2} = 2 (\frac{p^{2}}{25} - 16 q^{2}) = 2 [{(\frac{p}{5})}^{2} - (4 q)^{2}] = 2 (\frac{p}{5} + 4 q) (\frac{p}{5} - 4 q)$

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Factorisation Using Algebraic Identities

Standard VIII Mathematics

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