Algebra Examples

$2 (3 x^{2} - x + 4) - (x^{2} - x + 6)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$2 (3 x^{2}) + 2 (- x) + 2 \cdot 4 - (x^{2} - x + 6)$

Step 1.2

Simplify.

Tap for more steps...

Step 1.2.1

Multiply $3$ by $2$ .

$6 x^{2} + 2 (- x) + 2 \cdot 4 - (x^{2} - x + 6)$

Step 1.2.2

Multiply $- 1$ by $2$ .

$6 x^{2} - 2 x + 2 \cdot 4 - (x^{2} - x + 6)$

Step 1.2.3

Multiply $2$ by $4$ .

$6 x^{2} - 2 x + 8 - (x^{2} - x + 6)$

$6 x^{2} - 2 x + 8 - (x^{2} - x + 6)$

Step 1.3

Apply the distributive property.

$6 x^{2} - 2 x + 8 - x^{2} - - x - 1 \cdot 6$

Step 1.4

Simplify.

Tap for more steps...

Step 1.4.1

Multiply $- - x$ .

Tap for more steps...

Step 1.4.1.1

Multiply $- 1$ by $- 1$ .

$6 x^{2} - 2 x + 8 - x^{2} + 1 x - 1 \cdot 6$

Step 1.4.1.2

Multiply $x$ by $1$ .

$6 x^{2} - 2 x + 8 - x^{2} + x - 1 \cdot 6$

$6 x^{2} - 2 x + 8 - x^{2} + x - 1 \cdot 6$

Step 1.4.2

Multiply $- 1$ by $6$ .

$6 x^{2} - 2 x + 8 - x^{2} + x - 6$

$6 x^{2} - 2 x + 8 - x^{2} + x - 6$

$6 x^{2} - 2 x + 8 - x^{2} + x - 6$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Subtract $x^{2}$ from $6 x^{2}$ .

$5 x^{2} - 2 x + 8 + x - 6$

Step 2.2

Add $- 2 x$ and $x$ .

$5 x^{2} - x + 8 - 6$

Step 2.3

Subtract $6$ from $8$ .

$5 x^{2} - x + 2$

$5 x^{2} - x + 2$

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