Simplify (3x^4-4-5x^2)-(1-x^2+2x^3)

$(3 x^{4} - 4 - 5 x^{2}) - (1 - x^{2} + 2 x^{3})$

Step 1

Simplify each term.

Apply the distributive property.

$3 x^{4} - 4 - 5 x^{2} - 1 \cdot 1 - - x^{2} - (2 x^{3})$

Simplify.

Multiply $- 1$ by $1$ .

$3 x^{4} - 4 - 5 x^{2} - 1 - - x^{2} - (2 x^{3})$

Multiply $- - x^{2}$ .

Multiply $- 1$ by $- 1$ .

$3 x^{4} - 4 - 5 x^{2} - 1 + 1 x^{2} - (2 x^{3})$

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

$3 x^{4} - 4 - 5 x^{2} - 1 + x^{2} - (2 x^{3})$

Multiply $2$ by $- 1$ .

$3 x^{4} - 4 - 5 x^{2} - 1 + x^{2} - 2 x^{3}$

Step 2

Simplify by adding terms.

Subtract $1$ from $- 4$ .

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

Add $- 5 x^{2}$ and $x^{2}$ .

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

Reorder.

Move $- 5$ .

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

Move $- 4 x^{2}$ .

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