Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $3$ by $- 1$ .

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

Step 1.2.2

Multiply $- 5$ by $- 1$ .

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

Step 1.2.3

Multiply $8$ by $- 1$ .

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

Step 2

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

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Step 2.1

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

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

Step 2.2

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

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