Simplify (2x-3)(5x+4)

$(2 x - 3) (5 x + 4)$

Step 1

Expand $(2 x - 3) (5 x + 4)$ using the FOIL Method.

Apply the distributive property.

$2 x (5 x + 4) - 3 (5 x + 4)$

Apply the distributive property.

$2 x (5 x) + 2 x \cdot 4 - 3 (5 x + 4)$

Apply the distributive property.

$2 x (5 x) + 2 x \cdot 4 - 3 (5 x) - 3 \cdot 4$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$2 \cdot 5 x \cdot x + 2 x \cdot 4 - 3 (5 x) - 3 \cdot 4$

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

Move $x$ .

$2 \cdot 5 (x \cdot x) + 2 x \cdot 4 - 3 (5 x) - 3 \cdot 4$

Multiply $x$ by $x$ .

$2 \cdot 5 x^{2} + 2 x \cdot 4 - 3 (5 x) - 3 \cdot 4$

Multiply $2$ by $5$ .

$10 x^{2} + 2 x \cdot 4 - 3 (5 x) - 3 \cdot 4$

Multiply $4$ by $2$ .

$10 x^{2} + 8 x - 3 (5 x) - 3 \cdot 4$

Multiply $5$ by $- 3$ .

$10 x^{2} + 8 x - 15 x - 3 \cdot 4$

Multiply $- 3$ by $4$ .

$10 x^{2} + 8 x - 15 x - 12$

Subtract $15 x$ from $8 x$ .

$10 x^{2} - 7 x - 12$