Precalculus Examples

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

Step 1

To write $4 x$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

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

Step 2

Simplify terms.

Tap for more steps...

Step 2.1

Combine $4 x$ and $\frac{4}{4}$ .

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

Step 2.2

Combine the numerators over the common denominator.

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

Step 3

Simplify the numerator.

Tap for more steps...

Step 3.1

Multiply $4$ by $4$ .

$\frac{16 x - 7 (x + 7)}{4}$

Step 3.2

Apply the distributive property.

$\frac{16 x - 7 x - 7 \cdot 7}{4}$

Step 3.3

Multiply $- 7$ by $7$ .

$\frac{16 x - 7 x - 49}{4}$

Step 3.4

Subtract $7 x$ from $16 x$ .

$\frac{9 x - 49}{4}$