Algebra Examples

$2 x^{2} + 3 x - 6 + (x^{2} - 18 x + 6)$

Step 1

Remove parentheses.

$2 x^{2} + 3 x - 6 + x^{2} - 18 x + 6$

Step 2

Add $2 x^{2}$ and $x^{2}$ .

$3 x^{2} + 3 x - 6 - 18 x + 6$

Step 3

Subtract $18 x$ from $3 x$ .

$3 x^{2} - 15 x - 6 + 6$

Step 4

Add $- 6$ and $6$ .

$3 x^{2} - 15 x + 0$

Step 5

Add $3 x^{2} - 15 x$ and $0$ .

$3 x^{2} - 15 x$

Step 6

Factor $3 x$ out of $3 x^{2} - 15 x$ .

Tap for more steps...

Step 6.1

Factor $3 x$ out of $3 x^{2}$ .

$3 x (x) - 15 x$

Step 6.2

Factor $3 x$ out of $- 15 x$ .

$3 x (x) + 3 x (- 5)$

Step 6.3

Factor $3 x$ out of $3 x (x) + 3 x (- 5)$ .

$3 x (x - 5)$

$3 x (x - 5)$

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