Find the Product x(x^2-x+3)

$x (x^{2} - x + 3)$

Apply the distributive property.

$x \cdot x^{2} + x (- x) + x \cdot 3$

Simplify.

Multiply $x$ by $x^{2}$ by adding the exponents.

Multiply $x$ by $x^{2}$ .

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

$x^{1} x^{2} + x (- x) + x \cdot 3$

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

$x^{1 + 2} + x (- x) + x \cdot 3$

Add $1$ and $2$ .

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

Rewrite using the commutative property of multiplication.

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

Move $3$ to the left of $x$ .

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

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

Move $x$ .

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

Multiply $x$ by $x$ .

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

$x^{3} - x^{2} + 3 x$