Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 x^{2} + 4 - 1 \cdot 5 - (5 x^{3})$

Step 1.2

Multiply $- 1$ by $5$ .

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

Step 1.3

Multiply $5$ by $- 1$ .

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

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

Step 2

Simplify the expression.

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Step 2.1

Subtract $5$ from $4$ .

$5 x^{2} - 1 - 5 x^{3}$

Step 2.2

Move $- 1$ .

$5 x^{2} - 5 x^{3} - 1$

Step 2.3

Reorder $5 x^{2}$ and $- 5 x^{3}$ .

$- 5 x^{3} + 5 x^{2} - 1$

$- 5 x^{3} + 5 x^{2} - 1$

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