Factorise the following by grouping the terms:15x^2 + 7y - 3x - 3… - Vidyadip

Question

Factorise the following by grouping the terms:$15x^2 + 7y - 3x - 35xy$

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Answer

$15x^2 + 7y - 3x - 35xy$
$= 15x^2 - 3x - 35xy + 7y$
$= (15x^2 - 3x) - (35xy - 7y)$
$= 3x(5x - 1) - 7y(5x - 1)$
$= (5x - 1)(3x - 7y)$

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