Algebra Examples

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

Step 1

Remove parentheses.

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

Step 2

Subtract $5 x^{2}$ from $- 5 x^{2}$ .

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

Step 3

Subtract $3 x$ from $- x$ .

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

Step 4

Simplify the expression.

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Step 4.1

Add $5$ and $4$ .

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

Step 4.2

Move $9$ .

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

Step 4.3

Move $- 4 x$ .

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

Step 4.4

Reorder $- 10 x^{2}$ and $x^{3}$ .

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