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

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

Step 1

Expand $(2 x - 1) (x + 6)$ using the FOIL Method.

Apply the distributive property.

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

Apply the distributive property.

$2 x \cdot x + 2 x \cdot 6 - 1 (x + 6)$

Apply the distributive property.

$2 x \cdot x + 2 x \cdot 6 - 1 x - 1 \cdot 6$

$2 x \cdot x + 2 x \cdot 6 - 1 x - 1 \cdot 6$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$2 (x \cdot x) + 2 x \cdot 6 - 1 x - 1 \cdot 6$

Multiply $x$ by $x$ .

$2 x^{2} + 2 x \cdot 6 - 1 x - 1 \cdot 6$

$2 x^{2} + 2 x \cdot 6 - 1 x - 1 \cdot 6$

Multiply $6$ by $2$ .

$2 x^{2} + 12 x - 1 x - 1 \cdot 6$

Rewrite $- 1 x$ as $- x$ .

$2 x^{2} + 12 x - x - 1 \cdot 6$

Multiply $- 1$ by $6$ .

$2 x^{2} + 12 x - x - 6$

$2 x^{2} + 12 x - x - 6$

Subtract $x$ from $12 x$ .

$2 x^{2} + 11 x - 6$

$2 x^{2} + 11 x - 6$

Related Questions