Algebra Examples

$(- 9 n^{4} + 8) - (- 9 n^{4} + 2 n^{3} + 5 n^{2})$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$- 9 n^{4} + 8 - (- 9 n^{4}) - (2 n^{3}) - (5 n^{2})$

Step 1.2

Simplify.

Tap for more steps...

Step 1.2.1

Multiply $- 9$ by $- 1$ .

$- 9 n^{4} + 8 + 9 n^{4} - (2 n^{3}) - (5 n^{2})$

Step 1.2.2

Multiply $2$ by $- 1$ .

$- 9 n^{4} + 8 + 9 n^{4} - 2 n^{3} - (5 n^{2})$

Step 1.2.3

Multiply $5$ by $- 1$ .

$- 9 n^{4} + 8 + 9 n^{4} - 2 n^{3} - 5 n^{2}$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Combine the opposite terms in $- 9 n^{4} + 8 + 9 n^{4} - 2 n^{3} - 5 n^{2}$ .

Tap for more steps...

Step 2.1.1

Add $- 9 n^{4}$ and $9 n^{4}$ .

$0 + 8 - 2 n^{3} - 5 n^{2}$

Step 2.1.2

Add $0$ and $8$ .

$8 - 2 n^{3} - 5 n^{2}$

Step 2.2

Move $8$ .

$- 2 n^{3} - 5 n^{2} + 8$