Simplify (2x-3)(6x+5)

$(2 x - 3) (6 x + 5)$

Step 1

Expand $(2 x - 3) (6 x + 5)$ using the FOIL Method.

Apply the distributive property.

$2 x (6 x + 5) - 3 (6 x + 5)$

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

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

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

Move $x$ .

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

Multiply $x$ by $x$ .

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

Multiply $2$ by $6$ .

$12 x^{2} + 2 x \cdot 5 - 3 (6 x) - 3 \cdot 5$

Multiply $5$ by $2$ .

$12 x^{2} + 10 x - 3 (6 x) - 3 \cdot 5$

Multiply $6$ by $- 3$ .

$12 x^{2} + 10 x - 18 x - 3 \cdot 5$

Multiply $- 3$ by $5$ .

$12 x^{2} + 10 x - 18 x - 15$

Subtract $18 x$ from $10 x$ .

$12 x^{2} - 8 x - 15$