Basic Math Examples

2 - \frac{1}{u + 1}

$2 - \frac{1}{u + 1}$

Step 1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{u + 1}{u + 1}

$\frac{u + 1}{u + 1}$ .

\frac{2 (u + 1)}{u + 1} - \frac{1}{u + 1}

$\frac{2 (u + 1)}{u + 1} - \frac{1}{u + 1}$

Step 2

Combine the numerators over the common denominator.

\frac{2 (u + 1) - 1}{u + 1}

$\frac{2 (u + 1) - 1}{u + 1}$

Step 3

Simplify the numerator.

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Step 3.1

Apply the distributive property.

\frac{2 u + 2 \cdot 1 - 1}{u + 1}

$\frac{2 u + 2 \cdot 1 - 1}{u + 1}$

Step 3.2

Multiply

2

$2$ by

1

$1$ .

\frac{2 u + 2 - 1}{u + 1}

$\frac{2 u + 2 - 1}{u + 1}$

Step 3.3

Subtract

1

$1$ from

2

$2$ .

\frac{2 u + 1}{u + 1}

$\frac{2 u + 1}{u + 1}$

\frac{2 u + 1}{u + 1}

$\frac{2 u + 1}{u + 1}$