Algebra Examples

(- 5 x^{2} - x + 5) + (4 - 3 x - 5 x^{2} + x^{3})

$(- 5 x^{2} - x + 5) + (4 - 3 x - 5 x^{2} + x^{3})$

Step 1

Remove parentheses.

- 5 x^{2} - x + 5 + 4 - 3 x - 5 x^{2} + x^{3}

$- 5 x^{2} - x + 5 + 4 - 3 x - 5 x^{2} + x^{3}$

Step 2

Subtract

5 x^{2}

$5 x^{2}$ from

- 5 x^{2}

$- 5 x^{2}$ .

- 10 x^{2} - x + 5 + 4 - 3 x + x^{3}

$- 10 x^{2} - x + 5 + 4 - 3 x + x^{3}$

Step 3

Subtract

3 x

$3 x$ from

- x

$- x$ .

- 10 x^{2} - 4 x + 5 + 4 + x^{3}

$- 10 x^{2} - 4 x + 5 + 4 + x^{3}$

Step 4

Simplify the expression.

Tap for more steps...

Step 4.1

Add

5

$5$ and

4

$4$ .

- 10 x^{2} - 4 x + 9 + x^{3}

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

Step 4.2

Move

9

$9$ .

- 10 x^{2} - 4 x + x^{3} + 9

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

Step 4.3

Move

- 4 x

$- 4 x$ .

- 10 x^{2} + x^{3} - 4 x + 9

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

Step 4.4

Reorder

- 10 x^{2}

$- 10 x^{2}$ and

x^{3}

$x^{3}$ .

x^{3} - 10 x^{2} - 4 x + 9

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

x^{3} - 10 x^{2} - 4 x + 9

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