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

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

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

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

Move $x$ .

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

Multiply $x$ by $x$ .

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

Multiply $3$ by $2$ .

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

Multiply $5$ by $3$ .

$6 x^{2} + 15 x - 2 (2 x) - 2 \cdot 5$

Multiply $2$ by $- 2$ .

$6 x^{2} + 15 x - 4 x - 2 \cdot 5$

Multiply $- 2$ by $5$ .

$6 x^{2} + 15 x - 4 x - 10$

Subtract $4 x$ from $15 x$ .

$6 x^{2} + 11 x - 10$