Calculus Examples

$\frac{4 (1) (12) - {(- 7)}^{2}}{4 (1)}$

Step 1

Simplify the numerator.

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Step 1.1

Multiply $4 (1) \cdot 12$ .

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Step 1.1.1

Multiply $4$ by $1$ .

$\frac{4 \cdot 12 - {(- 7)}^{2}}{4 (1)}$

Step 1.1.2

Multiply $4$ by $12$ .

$\frac{48 - {(- 7)}^{2}}{4 (1)}$

$\frac{48 - {(- 7)}^{2}}{4 (1)}$

Step 1.2

Raise $- 7$ to the power of $2$ .

$\frac{48 - 1 \cdot 49}{4 (1)}$

Step 1.3

Multiply $- 1$ by $49$ .

$\frac{48 - 49}{4 (1)}$

Step 1.4

Subtract $49$ from $48$ .

$\frac{- 1}{4 (1)}$

$\frac{- 1}{4 (1)}$

Step 2

Simplify the expression.

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Step 2.1

Multiply $4$ by $1$ .

$\frac{- 1}{4}$

Step 2.2

Move the negative in front of the fraction.

$- \frac{1}{4}$

$- \frac{1}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{4}$

Decimal Form:

$- 0.25$

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