Question 1(x)
Use a suitable identity to get each of the following products:
$(7 a - 9 b) (7 a - 9 b)$

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Solution

$(7 a - 9 b) (7 a - 9 b) = (7 a - 9 b)^{2}$
$= (7 a)^{2} - 2 \times 7 a \times 9 b + (9 b)^{2} [U s i n g i d e n t i t y (a - b)^{2} = a^{2} - 2 a b + b^{2}]$
$= 49 a^{2} - 126 a b + 81 b^{2}$

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