Pre-Algebra Examples

(8 x - x^{3} + 4 - 9 x^{2}) + (7 x^{3} + 9 x^{2} - 10 - 8 x)

$(8 x - x^{3} + 4 - 9 x^{2}) + (7 x^{3} + 9 x^{2} - 10 - 8 x)$

Step 1

Remove parentheses.

$8 x - x^{3} + 4 - 9 x^{2} + 7 x^{3} + 9 x^{2} - 10 - 8 x$

Step 2

Combine the opposite terms in

$8 x - x^{3} + 4 - 9 x^{2} + 7 x^{3} + 9 x^{2} - 10 - 8 x$ .

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Step 2.1

Add

$- 9 x^{2}$ and

$9 x^{2}$ .

$8 x - x^{3} + 4 + 7 x^{3} + 0 - 10 - 8 x$

Step 2.2

Add

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

$0$ .

$8 x - x^{3} + 4 + 7 x^{3} - 10 - 8 x$

Step 2.3

Subtract

$8 x$ from

$8 x$ .

$- x^{3} + 4 + 7 x^{3} - 10 + 0$

Step 2.4

Add

$- x^{3} + 4 + 7 x^{3} - 10$ and

$0$ .

$- x^{3} + 4 + 7 x^{3} - 10$

Step 3

Add

$- x^{3}$ and

$7 x^{3}$ .

$6 x^{3} + 4 - 10$

Step 4

Subtract

$10$ from

$4$ .

$6 x^{3} - 6$