Trigonometry Examples

$\frac{7}{x} - \frac{7 - 4 x}{x}$

Step 1

Combine the numerators over the common denominator.

$\frac{7 - (7 - 4 x)}{x}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{7 - 1 \cdot 7 - (- 4 x)}{x}$

Step 2.2

Multiply $- 1$ by $7$ .

$\frac{7 - 7 - (- 4 x)}{x}$

Step 2.3

Multiply $- 4$ by $- 1$ .

$\frac{7 - 7 + 4 x}{x}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Subtract $7$ from $7$ .

$\frac{0 + 4 x}{x}$

Step 3.2

Add $0$ and $4 x$ .

$\frac{4 x}{x}$

Step 3.3

Cancel the common factor of $x$ .

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Step 3.3.1

Cancel the common factor.

$\frac{4 x}{x}$

Step 3.3.2

Divide $4$ by $1$ .

$4$