Simplify -3xx^3-3x

$- 3 x \cdot x^{3} \cdot - 3 x$

Step 1

Multiply $x$ by $x^{3}$ by adding the exponents.

Move $x^{3}$ .

$- 3 (x^{3} x) \cdot (- 3 x)$

Multiply $x^{3}$ by $x$ .

Raise $x$ to the power of $1$ .

$- 3 (x^{3} x^{1}) \cdot (- 3 x)$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$- 3 x^{3 + 1} \cdot (- 3 x)$

Add $3$ and $1$ .

$- 3 x^{4} \cdot (- 3 x)$

Step 2

Rewrite using the commutative property of multiplication.

$- 3 \cdot - 3 x^{4} x$

Step 3

Multiply $x^{4}$ by $x$ by adding the exponents.

Move $x$ .

$- 3 \cdot - 3 (x \cdot x^{4})$

Multiply $x$ by $x^{4}$ .

Raise $x$ to the power of $1$ .

$- 3 \cdot - 3 (x^{1} x^{4})$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$- 3 \cdot - 3 x^{1 + 4}$

Add $1$ and $4$ .

$- 3 \cdot - 3 x^{5}$

Step 4

Multiply $- 3$ by $- 3$ .

$9 x^{5}$

Simplify -3x*x^3*-3x