Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Multiply $2$ by $- 1$ .

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

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

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $x^{3}$ from $4 x^{3}$ .

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

Step 2.2

Subtract $2 x^{2}$ from $- 3 x^{2}$ .

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

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

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