Question 83 (xxii)

Multiply the following:

$(2 x - 2 y - 3), (x + y + 5)$

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Solution

We have, $(2 x - 2 y - 3)$ and $(x + y + 5)$
$∴ (2 x - 2 y - 3) (x + y + 5) = 2 x (x + y + 5) - 2 y (x + y + 5) - 3 (x + y + 5) = 2 x^{2} + 2 x y + 10 x - 2 y x - 2 y^{2} - 10 y - 3 x - 3 y - 15$
$= 2 x^{2} + 2 x y - 2 y x + 10 x - 3 x - 2 y^{2} - 10 y - 3 y - 15$ [grouping like terms]
$= 2 x^{2} + 7 x - 13 y - 2 y^{2} - 15$

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Multiply the following:

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