Basic Math Examples

$\frac{2 (5) - 4 {(5)}^{2}}{5^{2} - 20}$

Step 1

Simplify the numerator.

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Step 1.1

Multiply $2$ by $5$ .

$\frac{10 - 4 \cdot 5^{2}}{5^{2} - 20}$

Step 1.2

Raise $5$ to the power of $2$ .

$\frac{10 - 4 \cdot 25}{5^{2} - 20}$

Step 1.3

Multiply $- 4$ by $25$ .

$\frac{10 - 100}{5^{2} - 20}$

Step 1.4

Subtract $100$ from $10$ .

$\frac{- 90}{5^{2} - 20}$

$\frac{- 90}{5^{2} - 20}$

Step 2

Simplify the denominator.

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Step 2.1

Raise $5$ to the power of $2$ .

$\frac{- 90}{25 - 20}$

Step 2.2

Subtract $20$ from $25$ .

$\frac{- 90}{5}$

$\frac{- 90}{5}$

Step 3

Divide $- 90$ by $5$ .

$- 18$

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