Algebra Examples

$5 \sqrt{4 x - 4} - 2 \sqrt{x - 1}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Factor $4$ out of $4 x - 4$ .

Tap for more steps...

Step 1.1.1

Factor $4$ out of $4 x$ .

$5 \sqrt{4 (x) - 4} - 2 \sqrt{x - 1}$

Step 1.1.2

Factor $4$ out of $- 4$ .

$5 \sqrt{4 (x) + 4 (- 1)} - 2 \sqrt{x - 1}$

Step 1.1.3

Factor $4$ out of $4 (x) + 4 (- 1)$ .

$5 \sqrt{4 (x - 1)} - 2 \sqrt{x - 1}$

$5 \sqrt{4 (x - 1)} - 2 \sqrt{x - 1}$

Step 1.2

Rewrite $4$ as $2^{2}$ .

$5 \sqrt{2^{2} (x - 1)} - 2 \sqrt{x - 1}$

Step 1.3

Pull terms out from under the radical.

$5 (2 \sqrt{x - 1}) - 2 \sqrt{x - 1}$

Step 1.4

Multiply $2$ by $5$ .

$10 \sqrt{x - 1} - 2 \sqrt{x - 1}$

$10 \sqrt{x - 1} - 2 \sqrt{x - 1}$

Step 2

Subtract $2 \sqrt{x - 1}$ from $10 \sqrt{x - 1}$ .

$8 \sqrt{x - 1}$

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