Write in Standard Form (3-2x+2x^2)-(4x-5+3x^2)

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

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.

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

Simplify.

Multiply $4$ by $- 1$ .

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

Multiply $- 1$ by $- 5$ .

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

Multiply $3$ by $- 1$ .

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

Step 3

Simplify by adding terms.

Add $3$ and $5$ .

$- 2 x + 2 x^{2} - 4 x + 8 - 3 x^{2}$

Subtract $4 x$ from $- 2 x$ .

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

Subtract $3 x^{2}$ from $2 x^{2}$ .

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