Pre-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})

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

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}

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

Step 2

Subtract

3 x

$3 x$ from

- 4 x

$- 4 x$ .

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

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

Step 3

Add

2 x^{3}

$2 x^{3}$ and

6 x^{3}

$6 x^{3}$ .

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

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

Step 4

Add

- 5

$- 5$ and

13

$13$ .

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

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

Step 5

Subtract

2 x^{2}

$2 x^{2}$ from

6 x^{2}

$6 x^{2}$ .

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

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

Step 6

Subtract

8 x^{2}

$8 x^{2}$ from

4 x^{2}

$4 x^{2}$ .

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

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

Step 7

Add

- 7 x

$- 7 x$ and

9 x

$9 x$ .

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

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