Algebra Examples

$(x^{3} - 2 x^{2} + 3 x + 1) + (x^{4} - 7 x)$

Step 1

Remove parentheses.

$x^{3} - 2 x^{2} + 3 x + 1 + x^{4} - 7 x$

Step 2

Subtract $7 x$ from $3 x$ .

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

Step 3

Simplify the expression.

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Step 3.1

Move $1$ .

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

Step 3.2

Move $- 4 x$ .

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

Step 3.3

Move $- 2 x^{2}$ .

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

Step 3.4

Reorder $x^{3}$ and $x^{4}$ .

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

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$