Question 1(iv)

Use a suitable identity to get each of the following products:
$(3 a - \frac{1}{2}) (3 a - \frac{1}{2})$

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Solution

$(3 a - \frac{1}{2}) (3 a - \frac{1}{2}) = {(3 a - \frac{1}{2})}^{2}$
$= (3 a)^{2} - 2 \times 3 a \times \frac{1}{2} + {(\frac{1}{2})}^{2}$ $[U s i n g t h e i d e n t i t y (a - b)^{2} = a^{2} - 2 a b + b^{2}]$
$= 9 a^{2} - 3 a + \frac{1}{4}$

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