Basic Math Examples

$5 z^{8} - 7 z^{3} + 6 z^{2} + 9 + (7 z^{6} + 5 z^{3} - 3 z) + (- 3 z^{3} + 6 z^{2} + 3 z - 3)$

Step 1

Remove parentheses.

$5 z^{8} - 7 z^{3} + 6 z^{2} + 9 + 7 z^{6} + 5 z^{3} - 3 z - 3 z^{3} + 6 z^{2} + 3 z - 3$

Step 2

Add $- 7 z^{3}$ and $5 z^{3}$ .

$5 z^{8} - 2 z^{3} + 6 z^{2} + 9 + 7 z^{6} - 3 z - 3 z^{3} + 6 z^{2} + 3 z - 3$

Step 3

Subtract $3 z^{3}$ from $- 2 z^{3}$ .

$5 z^{8} - 5 z^{3} + 6 z^{2} + 9 + 7 z^{6} - 3 z + 6 z^{2} + 3 z - 3$

Step 4

Add $6 z^{2}$ and $6 z^{2}$ .

$5 z^{8} - 5 z^{3} + 12 z^{2} + 9 + 7 z^{6} - 3 z + 3 z - 3$

Step 5

Subtract $3$ from $9$ .

$5 z^{8} - 5 z^{3} + 12 z^{2} + 7 z^{6} - 3 z + 3 z + 6$

Step 6

Add $- 3 z$ and $3 z$ .

$5 z^{8} - 5 z^{3} + 12 z^{2} + 7 z^{6} + 0 + 6$

Step 7

Add $5 z^{8}$ and $0$ .

$5 z^{8} - 5 z^{3} + 12 z^{2} + 7 z^{6} + 6$

Step 8

Reorder terms.

$5 z^{8} + 7 z^{6} - 5 z^{3} + 12 z^{2} + 6$