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

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

Step 1

Simplify each term.

Apply the distributive property.

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

Multiply $2$ by $5$ .

$4 x (x + 2 x + 10)$

Step 2

Simplify terms.

Add $x$ and $2 x$ .

$4 x (3 x + 10)$

Apply the distributive property.

$4 x (3 x) + 4 x \cdot 10$

Simplify the expression.

Rewrite using the commutative property of multiplication.

$4 \cdot 3 x \cdot x + 4 x \cdot 10$

Multiply $10$ by $4$ .

$4 \cdot 3 x \cdot x + 40 x$

Step 3

Simplify each term.

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

Move $x$ .

$4 \cdot 3 (x \cdot x) + 40 x$

Multiply $x$ by $x$ .

$4 \cdot 3 x^{2} + 40 x$

Multiply $4$ by $3$ .

$12 x^{2} + 40 x$