Simplify (4x-1)(2x+5)

$(4 x - 1) (2 x + 5)$

Step 1

Expand $(4 x - 1) (2 x + 5)$ using the FOIL Method.

Apply the distributive property.

$4 x (2 x + 5) - 1 (2 x + 5)$

Apply the distributive property.

$4 x (2 x) + 4 x \cdot 5 - 1 (2 x + 5)$

Apply the distributive property.

$4 x (2 x) + 4 x \cdot 5 - 1 (2 x) - 1 \cdot 5$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$4 \cdot 2 x \cdot x + 4 x \cdot 5 - 1 (2 x) - 1 \cdot 5$

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

Move $x$ .

$4 \cdot 2 (x \cdot x) + 4 x \cdot 5 - 1 (2 x) - 1 \cdot 5$

Multiply $x$ by $x$ .

$4 \cdot 2 x^{2} + 4 x \cdot 5 - 1 (2 x) - 1 \cdot 5$

Multiply $4$ by $2$ .

$8 x^{2} + 4 x \cdot 5 - 1 (2 x) - 1 \cdot 5$

Multiply $5$ by $4$ .

$8 x^{2} + 20 x - 1 (2 x) - 1 \cdot 5$

Multiply $2$ by $- 1$ .

$8 x^{2} + 20 x - 2 x - 1 \cdot 5$

Multiply $- 1$ by $5$ .

$8 x^{2} + 20 x - 2 x - 5$

Subtract $2 x$ from $20 x$ .

$8 x^{2} + 18 x - 5$