Simplify (2x+3)(x-7)

$(2 x + 3) (x - 7)$

Step 1

Expand $(2 x + 3) (x - 7)$ using the FOIL Method.

Apply the distributive property.

$2 x (x - 7) + 3 (x - 7)$

Apply the distributive property.

$2 x \cdot x + 2 x \cdot - 7 + 3 (x - 7)$

Apply the distributive property.

$2 x \cdot x + 2 x \cdot - 7 + 3 x + 3 \cdot - 7$

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

$2 (x \cdot x) + 2 x \cdot - 7 + 3 x + 3 \cdot - 7$

Multiply $x$ by $x$ .

$2 x^{2} + 2 x \cdot - 7 + 3 x + 3 \cdot - 7$

Multiply $- 7$ by $2$ .

$2 x^{2} - 14 x + 3 x + 3 \cdot - 7$

Multiply $3$ by $- 7$ .

$2 x^{2} - 14 x + 3 x - 21$

Add $- 14 x$ and $3 x$ .

$2 x^{2} - 11 x - 21$