Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Subtract $1$ from $2$ .

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

Step 1.2

Subtract $1$ from $2$ .

$\frac{1}{h + 1} - \frac{1}{1}$

Step 1.3

Cancel the common factor of $1$ .

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Step 1.3.1

Cancel the common factor.

$\frac{1}{h + 1} - \frac{1}{1}$

Step 1.3.2

Rewrite the expression.

$\frac{1}{h + 1} - 1 \cdot 1$

Step 1.4

Multiply $- 1$ by $1$ .

$\frac{1}{h + 1} - 1$

Step 2

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{h + 1}{h + 1}$ .

$\frac{1}{h + 1} - 1 \cdot \frac{h + 1}{h + 1}$

Step 3

Simplify terms.

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Step 3.1

Combine $- 1$ and $\frac{h + 1}{h + 1}$ .

$\frac{1}{h + 1} + \frac{- (h + 1)}{h + 1}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{1 - (h + 1)}{h + 1}$

Step 4

Simplify the numerator.

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Step 4.1

Apply the distributive property.

$\frac{1 - h - 1 \cdot 1}{h + 1}$

Step 4.2

Multiply $- 1$ by $1$ .

$\frac{1 - h - 1}{h + 1}$

Step 4.3

Subtract $1$ from $1$ .

$\frac{- h + 0}{h + 1}$

Step 4.4

Add $- h$ and $0$ .

$\frac{- h}{h + 1}$

Step 5

Move the negative in front of the fraction.

$- \frac{h}{h + 1}$