Question

$3( {6x}^{2} - x - 2) =$
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Answer 1

Explanation:

$3(6x^{2} - x - 2)$

$= 3(6x {}^{2} + 3x - 4x - 2)$

$= 3(3x(2x + 1) - 2(2x + 1))$

$= 3(3x - 2)(2x + 1)$

-x is split into 3x and -4x because we need two numbers for the coefficient of x such that their product is equal to the coefficient of x^2, which in this case, is 6 and the constant term, which is 2. Hence, the product must be equal to 12 and their sum should be equal to the coefficient of x, which here, is -1.

Answer: 3(3x - 2)(2x +1)

I hope this helps. :D