Simplify (2x+7)(x-5)

$(2 x + 7) (x - 5)$

Step 1

Expand $(2 x + 7) (x - 5)$ using the FOIL Method.

Apply the distributive property.

$2 x (x - 5) + 7 (x - 5)$

Apply the distributive property.

$2 x \cdot x + 2 x \cdot - 5 + 7 (x - 5)$

Apply the distributive property.

$2 x \cdot x + 2 x \cdot - 5 + 7 x + 7 \cdot - 5$

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

$2 (x \cdot x) + 2 x \cdot - 5 + 7 x + 7 \cdot - 5$

Multiply $x$ by $x$ .

$2 x^{2} + 2 x \cdot - 5 + 7 x + 7 \cdot - 5$

Multiply $- 5$ by $2$ .

$2 x^{2} - 10 x + 7 x + 7 \cdot - 5$

Multiply $7$ by $- 5$ .

$2 x^{2} - 10 x + 7 x - 35$

Add $- 10 x$ and $7 x$ .

$2 x^{2} - 3 x - 35$