Factorise: $5 - 4 x (1 + 3 x)$

(1 + 2 x) (5 + 6 x)

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(1 - 2 x) (5 + 6 x)

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(1 - 2 x) (5 - 6 x)

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(1 + 2 x) (5 - 6 x)

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Solution

The correct option is C $(1 - 2 x) (5 + 6 x)$
Given expression:
$5 - 4 x (1 + 3 x) = 5 - 4 x - 12 x^{2} = - 12 x^{2} - 4 x + 5$
this equation can be written as
$\Rightarrow - 12 x^{2} + 6 x - 10 x + 5$
$= 6 x (- 2 x + 1) + 5 (- 2 x + 1)$
$= (1 - 2 x) (5 + 6 x)$

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