Pre-Algebra Examples

$x^{3} + 2 x - 1$ and $x^{4} - x^{3} + 3$

Step 1

Add the expressions.

$x^{3} + 2 x - 1 + x^{4} - x^{3} + 3$

Step 2

Combine the opposite terms in $x^{3} + 2 x - 1 + x^{4} - x^{3} + 3$ .

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Step 2.1

Subtract $x^{3}$ from $x^{3}$ .

$2 x - 1 + x^{4} + 0 + 3$

Step 2.2

Add $2 x - 1 + x^{4}$ and $0$ .

$2 x - 1 + x^{4} + 3$

Step 3

Simplify the expression.

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Step 3.1

Add $- 1$ and $3$ .

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

Step 3.2

Reorder $2 x$ and $x^{4}$ .

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