Algebra Examples

$3 (x^{2} - 1) - (x^{2} - 7 x + 10)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$3 x^{2} + 3 \cdot - 1 - (x^{2} - 7 x + 10)$

Step 1.2

Multiply $3$ by $- 1$ .

$3 x^{2} - 3 - (x^{2} - 7 x + 10)$

Step 1.3

Apply the distributive property.

$3 x^{2} - 3 - x^{2} - (- 7 x) - 1 \cdot 10$

Step 1.4

Simplify.

Tap for more steps...

Step 1.4.1

Multiply $- 7$ by $- 1$ .

$3 x^{2} - 3 - x^{2} + 7 x - 1 \cdot 10$

Step 1.4.2

Multiply $- 1$ by $10$ .

$3 x^{2} - 3 - x^{2} + 7 x - 10$

$3 x^{2} - 3 - x^{2} + 7 x - 10$

$3 x^{2} - 3 - x^{2} + 7 x - 10$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Subtract $x^{2}$ from $3 x^{2}$ .

$2 x^{2} - 3 + 7 x - 10$

Step 2.2

Subtract $10$ from $- 3$ .

$2 x^{2} + 7 x - 13$

$2 x^{2} + 7 x - 13$

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