Factorize: $m (x - 3 y)^{2} + n (3 y - x) + 5 x - 15 y$

(x - 3 y) (m x + 3 m y - n + 5)

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(x + 3 y) (m x - 3 y - n + 5)

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(x + 3 y) (x - 3 m y - n + 5)

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(x - 3 y) (m x - 3 m y - n + 5)

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Solution

The correct option is B $(x - 3 y) (m x - 3 m y - n + 5)$
$m (x - 3 y)^{2} + n (3 y - x) + 5 x - 15 y$
$= m (3 y - x)^{2} + n (3 y - x) - 15 y + 5 x$
$= m (3 y - x)^{2} + n (3 y - x) - 5 (3 y - x)$
$= (3 y - x) (m (3 y - x) + n - 5)$
$= (3 y - x) (3 m y - m x + n - 5)$
$= (x - 3 y) (m x - 3 m y - n + 5)$

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Similar questions

m {(x - 3 y)}^{2} + n (3 y - x) + 5 x - 15 y

Factorise by grouping method:

$m (x - 3 y)^{2} + n (3 y - x) + 5 x - 15 y$

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\frac{m}{\sqrt{n}}

The set A = {5, 10, 15, 20, 25, 30} written in the set builder form is ______________________.

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