Write in Standard Form (-9g^4+3g^2h+1)-(6g^4-3g^2h+h)

$(- 9 g^{4} + 3 g^{2} h + 1) - (6 g^{4} - 3 g^{2} h + h)$

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.

$- 9 g^{4} + 3 g^{2} h + 1 - (6 g^{4}) - (- 3 g^{2} h) - h$

Simplify.

Multiply $6$ by $- 1$ .

$- 9 g^{4} + 3 g^{2} h + 1 - 6 g^{4} - (- 3 g^{2} h) - h$

Multiply $- 3$ by $- 1$ .

$- 9 g^{4} + 3 g^{2} h + 1 - 6 g^{4} + 3 (g^{2} h) - h$

$- 9 g^{4} + 3 g^{2} h + 1 - 6 g^{4} + 3 g^{2} h - h$

Step 3

Simplify by adding terms.

Subtract $6 g^{4}$ from $- 9 g^{4}$ .

$- 15 g^{4} + 3 g^{2} h + 1 + 3 g^{2} h - h$

Add $3 g^{2} h$ and $3 g^{2} h$ .

$- 15 g^{4} + 6 g^{2} h + 1 - h$

Move $1$ .

$- 15 g^{4} + 6 g^{2} h - h + 1$