Question

$5x + 10y - 7(x + 2y) ^{2}$
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Answer 1

Step-by-step explanation:

5x + 10y - 7(x + 2y)²

= 5(x + 2y) - 7(x + 2y)

= (x + 2y) [ 5 - 7(x + 2y)]

= (x + 2y) (5 - 7x - 14y)

Expanding (if you want)

(x + 2y) (5 - 7x - 14y)

= x(5 - 7x - 14y) + 2y(5 - 7x - 14y)

= 5x - 7x² - 14xy + 10y - 10xy - 28y²

= 5x - 7x² - 24xy + 10y - 28y²

Hope it helps!

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Answer 2

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5x + 10y - 7(x + 2y)²

= 5(x + 2y) - 7(x + 2y)

= (x + 2y) [ 5 - 7(x + 2y)]

= (x + 2y) (5 - 7x - 14y)

Expanding

(x + 2y) (5 - 7x - 14y)

= x(5 - 7x - 14y) + 2y(5 - 7x - 14y)

= 5x - 7x² - 14xy + 10y - 10xy - 28y²

= 5x - 7x² - 24xy + 10y - 28y²