Factorize the following equation by the grouping method
$m {(x - 3 y)}^{2} + n (3 y - x) + 5 x - 15 y$

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

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

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Solution

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

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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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