Simplify 3x(2x+5)

$3 x (2 x + 5)$

Step 1

Simplify by multiplying through.

Apply the distributive property.

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

Simplify the expression.

Rewrite using the commutative property of multiplication.

$3 \cdot 2 x \cdot x + 3 x \cdot 5$

Multiply $5$ by $3$ .

$3 \cdot 2 x \cdot x + 15 x$

Step 2

Simplify each term.

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

Move $x$ .

$3 \cdot 2 (x \cdot x) + 15 x$

Multiply $x$ by $x$ .

$3 \cdot 2 x^{2} + 15 x$

Multiply $3$ by $2$ .

$6 x^{2} + 15 x$