Simplify (x+3)(2x-5)

$(x + 3) (2 x - 5)$

Step 1

Expand $(x + 3) (2 x - 5)$ using the FOIL Method.

Apply the distributive property.

$x (2 x - 5) + 3 (2 x - 5)$

Apply the distributive property.

$x (2 x) + x \cdot - 5 + 3 (2 x - 5)$

Apply the distributive property.

$x (2 x) + x \cdot - 5 + 3 (2 x) + 3 \cdot - 5$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$2 x \cdot x + x \cdot - 5 + 3 (2 x) + 3 \cdot - 5$

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

Move $x$ .

$2 (x \cdot x) + x \cdot - 5 + 3 (2 x) + 3 \cdot - 5$

Multiply $x$ by $x$ .

$2 x^{2} + x \cdot - 5 + 3 (2 x) + 3 \cdot - 5$

Move $- 5$ to the left of $x$ .

$2 x^{2} - 5 \cdot x + 3 (2 x) + 3 \cdot - 5$

Multiply $2$ by $3$ .

$2 x^{2} - 5 x + 6 x + 3 \cdot - 5$

Multiply $3$ by $- 5$ .

$2 x^{2} - 5 x + 6 x - 15$

Add $- 5 x$ and $6 x$ .

$2 x^{2} + x - 15$