Simplify (2x+9)(x-2)

$(2 x + 9) (x - 2)$

Step 1

Expand $(2 x + 9) (x - 2)$ using the FOIL Method.

Apply the distributive property.

$2 x (x - 2) + 9 (x - 2)$

Apply the distributive property.

$2 x \cdot x + 2 x \cdot - 2 + 9 (x - 2)$

Apply the distributive property.

$2 x \cdot x + 2 x \cdot - 2 + 9 x + 9 \cdot - 2$

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

$2 (x \cdot x) + 2 x \cdot - 2 + 9 x + 9 \cdot - 2$

Multiply $x$ by $x$ .

$2 x^{2} + 2 x \cdot - 2 + 9 x + 9 \cdot - 2$

Multiply $- 2$ by $2$ .

$2 x^{2} - 4 x + 9 x + 9 \cdot - 2$

Multiply $9$ by $- 2$ .

$2 x^{2} - 4 x + 9 x - 18$

Add $- 4 x$ and $9 x$ .

$2 x^{2} + 5 x - 18$