Simplify (3x^3+3x^2+5)-(x^3-2x^2+x-4)

$(3 x^{3} + 3 x^{2} + 5) - (x^{3} - 2 x^{2} + x - 4)$

Step 1

Simplify each term.

Apply the distributive property.

$3 x^{3} + 3 x^{2} + 5 - x^{3} - (- 2 x^{2}) - x - - 4$

Simplify.

Multiply $- 2$ by $- 1$ .

$3 x^{3} + 3 x^{2} + 5 - x^{3} + 2 x^{2} - x - - 4$

Multiply $- 1$ by $- 4$ .

$3 x^{3} + 3 x^{2} + 5 - x^{3} + 2 x^{2} - x + 4$

Step 2

Simplify by adding terms.

Subtract $x^{3}$ from $3 x^{3}$ .

$2 x^{3} + 3 x^{2} + 5 + 2 x^{2} - x + 4$

Add $3 x^{2}$ and $2 x^{2}$ .

$2 x^{3} + 5 x^{2} + 5 - x + 4$

Add $5$ and $4$ .

$2 x^{3} + 5 x^{2} - x + 9$