Write in Standard Form (3g^4+5g^2h+1)-(3g^4-5g^2+8h)

$(3 g^{4} + 5 g^{2} h + 1) - (3 g^{4} - 5 g^{2} + 8 h)$

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.

$3 g^{4} + 5 g^{2} h + 1 - (3 g^{4}) - (- 5 g^{2}) - (8 h)$

Simplify.

Multiply $3$ by $- 1$ .

$3 g^{4} + 5 g^{2} h + 1 - 3 g^{4} - (- 5 g^{2}) - (8 h)$

Multiply $- 5$ by $- 1$ .

$3 g^{4} + 5 g^{2} h + 1 - 3 g^{4} + 5 g^{2} - (8 h)$

Multiply $8$ by $- 1$ .

$3 g^{4} + 5 g^{2} h + 1 - 3 g^{4} + 5 g^{2} - 8 h$

Step 3

Simplify by adding terms.

Combine the opposite terms in $3 g^{4} + 5 g^{2} h + 1 - 3 g^{4} + 5 g^{2} - 8 h$ .

Subtract $3 g^{4}$ from $3 g^{4}$ .

$5 g^{2} h + 1 + 0 + 5 g^{2} - 8 h$

Add $5 g^{2} h + 1$ and $0$ .

$5 g^{2} h + 1 + 5 g^{2} - 8 h$

Move $1$ .

$5 g^{2} h + 5 g^{2} - 8 h + 1$