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Algebraic Identities

ix Expand the...

Question

Question 85 (ix)

Expand the following, using suitable identities.

$(\frac{2 x}{3} - \frac{2}{3}) (\frac{2 x}{3} + \frac{2 a}{3})$

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Solution

We have,
[using the identity, $(x + a) (x + b) = x^{2} + (a + b) x + a b$ ]
$= \frac{4 x^{2}}{9} + \frac{2 a - 2}{3} \times \frac{2}{3} x - \frac{4}{9} a = \frac{4 x^{2}}{9} + \frac{4}{9} (a - 1) x - \frac{4}{9} a$

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Algebraic Identities

Standard VIII Mathematics

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