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

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

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

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

Move $x$ .

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

Multiply $x$ by $x$ .

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

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

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

Multiply $4$ by $4$ .

$4 x^{2} - 5 x + 16 x + 4 \cdot - 5$

Multiply $4$ by $- 5$ .

$4 x^{2} - 5 x + 16 x - 20$

Add $- 5 x$ and $16 x$ .

$4 x^{2} + 11 x - 20$