Question

Factorise by splitting middle term 2x²-3x-2​

Answer 1

Answer:

$2 {x}^{2} - 3x - 2$

Splitting middle term.

$\sf \red{2 {x}^{2} + x - 4x - 2}$

Factor out x from the expression.

$\sf \red{x \times (2x + 1) - 4x - 2}$

Factor out - 2 from the expression.

$\sf \red{x \times (2x + 1) - 2(2x + 1)}$

Factor out 2x + 1 from the expression.

$\sf \green{(2x + 1) \times (x - 2)}$

Answer 2

Step-by-step explanation:

$\bf {2x ^{2}−3x−2}$

Splitting the term.

$\sf \red{2 {x}^{2} + x - 4x - 2}</p><p>$

Factoring out x from the expression.

$\sf \red{x \times (2x + 1) - 4x - 2}$

Factor out - 2 from the expression.

$</p><p>\sf \red{x \times (2x + 1) - 2(2x + 1)}$

Factor out 2x + 1 from the expression.

$</p><p>\sf \color{blue}{(2x + 1) \times (x - 2)}$