Precalculus Examples

$P = 125 - {(\frac{x}{200})}^{2}$

Step 1

Simplify each term.

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Step 1.1

Apply the product rule to $\frac{x}{200}$ .

$P = 125 - \frac{x^{2}}{200^{2}}$

Step 1.2

Raise $200$ to the power of $2$ .

$P = 125 - \frac{x^{2}}{40000}$

$P = 125 - \frac{x^{2}}{40000}$

Step 2

Reorder $125$ and $- \frac{x^{2}}{40000}$ .

$P = - \frac{x^{2}}{40000} + 125$

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