Expand the following using identities
$(2 a + 3 b)^{2}$

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Solution

$(2 a + 3 b)^{2} = (2 a)^{2} + 2 (2 a) (3 b) + (3 b)^{2}$

$= 4 a^{2} + 12 a b + 9 b^{2}$

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Question 85 (ix)

Expand the following, using suitable identities.

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

Question 85 (xi)

Expand the following, using suitable identities.

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

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