Calculus Examples

$\frac{960 (4)}{{(4^{2} + 4)}^{2}}$

Step 1

Multiply $960$ by $4$ .

$\frac{3840}{{(4^{2} + 4)}^{2}}$

Step 2

Simplify the denominator.

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Step 2.1

Raise $4$ to the power of $2$ .

$\frac{3840}{{(16 + 4)}^{2}}$

Step 2.2

Add $16$ and $4$ .

$\frac{3840}{20^{2}}$

Step 2.3

Raise $20$ to the power of $2$ .

$\frac{3840}{400}$

$\frac{3840}{400}$

Step 3

Cancel the common factor of $3840$ and $400$ .

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Step 3.1

Factor $80$ out of $3840$ .

$\frac{80 (48)}{400}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $80$ out of $400$ .

$\frac{80 \cdot 48}{80 \cdot 5}$

Step 3.2.2

Cancel the common factor.

$\frac{80 \cdot 48}{80 \cdot 5}$

Step 3.2.3

Rewrite the expression.

$\frac{48}{5}$

$\frac{48}{5}$

$\frac{48}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{48}{5}$

Decimal Form:

$9.6$

Mixed Number Form:

$9 \frac{3}{5}$

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