Algebra Examples

$(7 - 6 n^{2} - 5 n^{3} + 8 n) + (3 n - 3 n^{3} - 7 + 2 n^{4})$

Step 1

Remove parentheses.

$7 - 6 n^{2} - 5 n^{3} + 8 n + 3 n - 3 n^{3} - 7 + 2 n^{4}$

Step 2

Combine the opposite terms in $7 - 6 n^{2} - 5 n^{3} + 8 n + 3 n - 3 n^{3} - 7 + 2 n^{4}$ .

Tap for more steps...

Step 2.1

Subtract $7$ from $7$ .

$- 6 n^{2} - 5 n^{3} + 8 n + 3 n - 3 n^{3} + 0 + 2 n^{4}$

Step 2.2

Add $- 6 n^{2} - 5 n^{3} + 8 n + 3 n - 3 n^{3}$ and $0$ .

$- 6 n^{2} - 5 n^{3} + 8 n + 3 n - 3 n^{3} + 2 n^{4}$

Step 3

Subtract $3 n^{3}$ from $- 5 n^{3}$ .

$- 6 n^{2} - 8 n^{3} + 8 n + 3 n + 2 n^{4}$

Step 4

Add $8 n$ and $3 n$ .

$- 6 n^{2} - 8 n^{3} + 11 n + 2 n^{4}$

Step 5

Simplify the expression.

Tap for more steps...

Step 5.1

Move $11 n$ .

$- 6 n^{2} - 8 n^{3} + 2 n^{4} + 11 n$

Step 5.2

Move $- 6 n^{2}$ .

$- 8 n^{3} + 2 n^{4} - 6 n^{2} + 11 n$

Step 5.3

Reorder $- 8 n^{3}$ and $2 n^{4}$ .

$2 n^{4} - 8 n^{3} - 6 n^{2} + 11 n$