Finite Math Examples

$2 x - 3 \sqrt{4 x^{3} + 4 x^{2} - 29 + 21}$

Step 1

Add $- 29$ and $21$ .

$2 x - 3 \sqrt{4 x^{3} + 4 x^{2} - 8}$

Step 2

Factor $4$ out of $4 x^{3} + 4 x^{2} - 8$ .

Tap for more steps...

Step 2.1

Factor $4$ out of $4 x^{3}$ .

$2 x - 3 \sqrt{4 (x^{3}) + 4 x^{2} - 8}$

Step 2.2

Factor $4$ out of $4 x^{2}$ .

$2 x - 3 \sqrt{4 (x^{3}) + 4 (x^{2}) - 8}$

Step 2.3

Factor $4$ out of $- 8$ .

$2 x - 3 \sqrt{4 (x^{3}) + 4 x^{2} + 4 \cdot - 2}$

Step 2.4

Factor $4$ out of $4 (x^{3}) + 4 x^{2}$ .

$2 x - 3 \sqrt{4 (x^{3} + x^{2}) + 4 \cdot - 2}$

Step 2.5

Factor $4$ out of $4 (x^{3} + x^{2}) + 4 \cdot - 2$ .

$2 x - 3 \sqrt{4 (x^{3} + x^{2} - 2)}$

Step 3

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

$2 x - 3 \sqrt{2^{2} (x^{3} + x^{2} - 2)}$

Step 4

Pull terms out from under the radical.

$2 x - 3 (2 \sqrt{x^{3} + x^{2} - 2})$

Step 5

Multiply $2$ by $- 3$ .

$2 x - 6 \sqrt{x^{3} + x^{2} - 2}$