Question 1(iii)

Use a suitable identity to get each of the following products:
$(2 a - 7) (2 a - 7)$

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Solution

$(2 a - 7) (2 a - 7) = (2 a - 7)^{2}$ $[U s i n g t h e i d e n t i t y (a - b)^{2} = a^{2} - 2 a b + b^{2}]$
$= (2 a)^{2} - 2 \times 2 a \times 7 + (7)^{2}$
$= 4 a^{2} - 28 a + 49$

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