Find the product of $(7 x - 4 y)$ and $(3 x - 7 y)$ .
(2 marks)

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Solution

Product = $(7 x - 4 y) (3 x - 7 y)$ .

By distrivutive property, we know that,
$(a + b) (c + d) = a (c + d) + b (c + d)$
(0.5 mark)

On applying this, we get,
$(7 x - 4 y) (3 x - 7 y)$
$= [7 x (3 x - 7 y)] - [4 y (3 x - 7 y)]$
(0.5 mark)

$= 21 x^{2} - 49 x y - 12 x y + 28 y^{2}$
$= 21 x^{2} + 28 y^{2} - 61 x y$
(1 mark)

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$Find the product of (7 x - 4 y) and (3 x - 7 y) .$

The product of $(7 x - 4 y)$ and $(3 x - 7 y)$ is:

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