Simplify (2x-1)(x+7)

$(2 x - 1) (x + 7)$

Step 1

Expand $(2 x - 1) (x + 7)$ using the FOIL Method.

Apply the distributive property.

$2 x (x + 7) - 1 (x + 7)$

Apply the distributive property.

$2 x \cdot x + 2 x \cdot 7 - 1 (x + 7)$

Apply the distributive property.

$2 x \cdot x + 2 x \cdot 7 - 1 x - 1 \cdot 7$

$2 x \cdot x + 2 x \cdot 7 - 1 x - 1 \cdot 7$

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

$2 (x \cdot x) + 2 x \cdot 7 - 1 x - 1 \cdot 7$

Multiply $x$ by $x$ .

$2 x^{2} + 2 x \cdot 7 - 1 x - 1 \cdot 7$

$2 x^{2} + 2 x \cdot 7 - 1 x - 1 \cdot 7$

Multiply $7$ by $2$ .

$2 x^{2} + 14 x - 1 x - 1 \cdot 7$

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

$2 x^{2} + 14 x - x - 1 \cdot 7$

Multiply $- 1$ by $7$ .

$2 x^{2} + 14 x - x - 7$

$2 x^{2} + 14 x - x - 7$

Subtract $x$ from $14 x$ .

$2 x^{2} + 13 x - 7$

$2 x^{2} + 13 x - 7$

Related Questions