Calculus Examples

$\frac{6 (1667) - 21 \cdot 392}{6 (91) - {(21)}^{2}}$

Step 1

Simplify the numerator.

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Step 1.1

Multiply $6$ by $1667$ .

$\frac{10002 - 21 \cdot 392}{6 (91) - 21^{2}}$

Step 1.2

Multiply $- 21$ by $392$ .

$\frac{10002 - 8232}{6 (91) - 21^{2}}$

Step 1.3

Subtract $8232$ from $10002$ .

$\frac{1770}{6 (91) - 21^{2}}$

$\frac{1770}{6 (91) - 21^{2}}$

Step 2

Simplify the denominator.

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Step 2.1

Multiply $6$ by $91$ .

$\frac{1770}{546 - 21^{2}}$

Step 2.2

Raise $21$ to the power of $2$ .

$\frac{1770}{546 - 1 \cdot 441}$

Step 2.3

Multiply $- 1$ by $441$ .

$\frac{1770}{546 - 441}$

Step 2.4

Subtract $441$ from $546$ .

$\frac{1770}{105}$

$\frac{1770}{105}$

Step 3

Cancel the common factor of $1770$ and $105$ .

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Step 3.1

Factor $15$ out of $1770$ .

$\frac{15 (118)}{105}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $15$ out of $105$ .

$\frac{15 \cdot 118}{15 \cdot 7}$

Step 3.2.2

Cancel the common factor.

$\frac{15 \cdot 118}{15 \cdot 7}$

Step 3.2.3

Rewrite the expression.

$\frac{118}{7}$

$\frac{118}{7}$

$\frac{118}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{118}{7}$

Decimal Form:

$16.85714285 \dots$

Mixed Number Form:

$16 \frac{6}{7}$

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