Write in Standard Form (x^2-3x+4)-(3x+x^3-4)

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

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Simplify each term.

Apply the distributive property.

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

Simplify.

Multiply $3$ by $- 1$ .

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

Multiply $- 1$ by $- 4$ .

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

Step 3

Simplify by adding terms.

Subtract $3 x$ from $- 3 x$ .

$x^{2} - 6 x + 4 - x^{3} + 4$

Simplify the expression.

Add $4$ and $4$ .

$x^{2} - 6 x - x^{3} + 8$

Move $- 6 x$ .

$x^{2} - x^{3} - 6 x + 8$

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

$- x^{3} + x^{2} - 6 x + 8$