Pre-Algebra Examples

(6 x^{3} + 2 x^{2} - 4 x) + (3 x^{2} - 7 x + 1) + (2 x^{3} - 5 x^{2} + 8 x - 7)

$(6 x^{3} + 2 x^{2} - 4 x) + (3 x^{2} - 7 x + 1) + (2 x^{3} - 5 x^{2} + 8 x - 7)$

Step 1

Remove parentheses.

6 x^{3} + 2 x^{2} - 4 x + 3 x^{2} - 7 x + 1 + 2 x^{3} - 5 x^{2} + 8 x - 7

$6 x^{3} + 2 x^{2} - 4 x + 3 x^{2} - 7 x + 1 + 2 x^{3} - 5 x^{2} + 8 x - 7$

Step 2

Add

6 x^{3}

$6 x^{3}$ and

2 x^{3}

$2 x^{3}$ .

8 x^{3} + 2 x^{2} - 4 x + 3 x^{2} - 7 x + 1 - 5 x^{2} + 8 x - 7

$8 x^{3} + 2 x^{2} - 4 x + 3 x^{2} - 7 x + 1 - 5 x^{2} + 8 x - 7$

Step 3

Add

2 x^{2}

$2 x^{2}$ and

3 x^{2}

$3 x^{2}$ .

8 x^{3} + 5 x^{2} - 4 x - 7 x + 1 - 5 x^{2} + 8 x - 7

$8 x^{3} + 5 x^{2} - 4 x - 7 x + 1 - 5 x^{2} + 8 x - 7$

Step 4

Combine the opposite terms in

8 x^{3} + 5 x^{2} - 4 x - 7 x + 1 - 5 x^{2} + 8 x - 7

$8 x^{3} + 5 x^{2} - 4 x - 7 x + 1 - 5 x^{2} + 8 x - 7$ .

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Step 4.1

Subtract

5 x^{2}

$5 x^{2}$ from

5 x^{2}

$5 x^{2}$ .

8 x^{3} - 4 x - 7 x + 1 + 0 + 8 x - 7

$8 x^{3} - 4 x - 7 x + 1 + 0 + 8 x - 7$

Step 4.2

Add

8 x^{3} - 4 x - 7 x + 1

$8 x^{3} - 4 x - 7 x + 1$ and

0

$0$ .

8 x^{3} - 4 x - 7 x + 1 + 8 x - 7

$8 x^{3} - 4 x - 7 x + 1 + 8 x - 7$

8 x^{3} - 4 x - 7 x + 1 + 8 x - 7

$8 x^{3} - 4 x - 7 x + 1 + 8 x - 7$

Step 5

Subtract

7 x

$7 x$ from

- 4 x

$- 4 x$ .

8 x^{3} - 11 x + 1 + 8 x - 7

$8 x^{3} - 11 x + 1 + 8 x - 7$

Step 6

Add

- 11 x

$- 11 x$ and

8 x

$8 x$ .

8 x^{3} - 3 x + 1 - 7

$8 x^{3} - 3 x + 1 - 7$

Step 7

Subtract

7

$7$ from

1

$1$ .

8 x^{3} - 3 x - 6

$8 x^{3} - 3 x - 6$