Precalculus Examples

$a \cdot 1 = \frac{2 \cdot 1 - 1}{1^{2} + 1}$

Step 1

Multiply $a$ by $1$ .

$a = \frac{2 \cdot 1 - 1}{1^{2} + 1}$

Step 2

Simplify $\frac{2 \cdot 1 - 1}{1^{2} + 1}$ .

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Multiply $2$ by $1$ .

$a = \frac{2 - 1}{1^{2} + 1}$

Step 2.1.2

Subtract $1$ from $2$ .

$a = \frac{1}{1^{2} + 1}$

$a = \frac{1}{1^{2} + 1}$

Step 2.2

Simplify the denominator.

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Step 2.2.1

One to any power is one.

$a = \frac{1}{1 + 1}$

Step 2.2.2

Add $1$ and $1$ .

$a = \frac{1}{2}$

$a = \frac{1}{2}$

$a = \frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$a = \frac{1}{2}$

Decimal Form:

$a = 0.5$

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