Simplify 8x(6x+6)

$8 x (6 x + 6)$

Step 1

Simplify by multiplying through.

Apply the distributive property.

$8 x (6 x) + 8 x \cdot 6$

Simplify the expression.

Rewrite using the commutative property of multiplication.

$8 \cdot 6 x \cdot x + 8 x \cdot 6$

Multiply $6$ by $8$ .

$8 \cdot 6 x \cdot x + 48 x$

Step 2

Simplify each term.

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

Move $x$ .

$8 \cdot 6 (x \cdot x) + 48 x$

Multiply $x$ by $x$ .

$8 \cdot 6 x^{2} + 48 x$

Multiply $8$ by $6$ .

$48 x^{2} + 48 x$