Simplify (18-2x^3+9x)-(4-x^2-3x^3+11x)

$(18 - 2 x^{3} + 9 x) - (4 - x^{2} - 3 x^{3} + 11 x)$

Step 1

Simplify each term.

Apply the distributive property.

$18 - 2 x^{3} + 9 x - 1 \cdot 4 - - x^{2} - (- 3 x^{3}) - (11 x)$

Simplify.

Multiply $- 1$ by $4$ .

$18 - 2 x^{3} + 9 x - 4 - - x^{2} - (- 3 x^{3}) - (11 x)$

Multiply $- - x^{2}$ .

Multiply $- 1$ by $- 1$ .

$18 - 2 x^{3} + 9 x - 4 + 1 x^{2} - (- 3 x^{3}) - (11 x)$

Multiply $x^{2}$ by $1$ .

$18 - 2 x^{3} + 9 x - 4 + x^{2} - (- 3 x^{3}) - (11 x)$

Multiply $- 3$ by $- 1$ .

$18 - 2 x^{3} + 9 x - 4 + x^{2} + 3 x^{3} - (11 x)$

Multiply $11$ by $- 1$ .

$18 - 2 x^{3} + 9 x - 4 + x^{2} + 3 x^{3} - 11 x$

Step 2

Simplify by adding terms.

Subtract $4$ from $18$ .

$- 2 x^{3} + 9 x + 14 + x^{2} + 3 x^{3} - 11 x$

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

$x^{3} + 9 x + 14 + x^{2} - 11 x$

Subtract $11 x$ from $9 x$ .

$x^{3} - 2 x + 14 + x^{2}$

Reorder.

Move $14$ .

$x^{3} - 2 x + x^{2} + 14$

Move $- 2 x$ .

$x^{3} + x^{2} - 2 x + 14$