Simplify (x^2+1)(x-3)

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

Step 1

Expand $(x^{2} + 1) (x - 3)$ using the FOIL Method.

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify each term.

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

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

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

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

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

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

Add $2$ and $1$ .

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

Move $- 3$ to the left of $x^{2}$ .

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

Multiply $x$ by $1$ .

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

Multiply $- 3$ by $1$ .

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