Simplify w(3w+2)+5w

$w (3 w + 2) + 5 w$

Step 1

Simplify each term.

Apply the distributive property.

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

Rewrite using the commutative property of multiplication.

$3 w \cdot w + w \cdot 2 + 5 w$

Move $2$ to the left of $w$ .

$3 w \cdot w + 2 \cdot w + 5 w$

Multiply $w$ by $w$ by adding the exponents.

Move $w$ .

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

Multiply $w$ by $w$ .

$3 w^{2} + 2 \cdot w + 5 w$

$3 w^{2} + 2 w + 5 w$

Step 2

Add $2 w$ and $5 w$ .

$3 w^{2} + 7 w$