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

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

Step 1

Simplify each term.

Apply the distributive property.

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

Simplify.

Multiply $- 1$ by $- 5$ .

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

Multiply $- 4$ by $- 1$ .

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

Multiply $4$ by $- 1$ .

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

Step 2

Simplify by adding terms.

Combine the opposite terms in $4 x^{2} + 2 x - 4 + 5 + 4 x - 4 x^{2} - x^{3}$ .

Subtract $4 x^{2}$ from $4 x^{2}$ .

$2 x - 4 + 5 + 4 x + 0 - x^{3}$

Add $2 x - 4 + 5 + 4 x$ and $0$ .

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

Add $2 x$ and $4 x$ .

$6 x - 4 + 5 - x^{3}$

Simplify the expression.

Add $- 4$ and $5$ .

$6 x + 1 - x^{3}$

Move $1$ .

$6 x - x^{3} + 1$

Reorder $6 x$ and $- x^{3}$ .

$- x^{3} + 6 x + 1$