Algebra Examples

$(- 4 x + 2 x^{3} - 5) + (6 x^{2} - 3 x + 6 x^{3}) + (13 - 2 x^{2} + 9 x - 8 x^{2})$

Step 1

Remove parentheses.

$- 4 x + 2 x^{3} - 5 + 6 x^{2} - 3 x + 6 x^{3} + 13 - 2 x^{2} + 9 x - 8 x^{2}$

Step 2

Subtract $3 x$ from $- 4 x$ .

$2 x^{3} - 5 + 6 x^{2} - 7 x + 6 x^{3} + 13 - 2 x^{2} + 9 x - 8 x^{2}$

Step 3

Add $2 x^{3}$ and $6 x^{3}$ .

$8 x^{3} - 5 + 6 x^{2} - 7 x + 13 - 2 x^{2} + 9 x - 8 x^{2}$

Step 4

Add $- 5$ and $13$ .

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

Step 5

Subtract $2 x^{2}$ from $6 x^{2}$ .

$8 x^{3} + 4 x^{2} - 7 x + 8 + 9 x - 8 x^{2}$

Step 6

Subtract $8 x^{2}$ from $4 x^{2}$ .

$8 x^{3} - 4 x^{2} - 7 x + 8 + 9 x$

Step 7

Add $- 7 x$ and $9 x$ .

$8 x^{3} - 4 x^{2} + 2 x + 8$