Algebra Examples

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

Step 1

Remove parentheses.

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

Step 2

Combine the opposite terms in $2 x^{2} - 3 x + 4 + 2 - 4 x - 2 x^{2} - x^{3}$ .

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Step 2.1

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

$- 3 x + 4 + 2 - 4 x + 0 - x^{3}$

Step 2.2

Add $- 3 x + 4 + 2 - 4 x$ and $0$ .

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

Step 3

Subtract $4 x$ from $- 3 x$ .

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

Step 4

Simplify the expression.

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Step 4.1

Add $4$ and $2$ .

$- 7 x + 6 - x^{3}$

Step 4.2

Move $6$ .

$- 7 x - x^{3} + 6$

Step 4.3

Reorder $- 7 x$ and $- x^{3}$ .

$- x^{3} - 7 x + 6$