Algebra Examples

$14 x^{2} + 5 - (7 (x^{2} - 2) + 4)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$14 x^{2} + 5 - (7 x^{2} + 7 \cdot - 2 + 4)$

Step 1.2

Multiply $7$ by $- 2$ .

$14 x^{2} + 5 - (7 x^{2} - 14 + 4)$

$14 x^{2} + 5 - (7 x^{2} - 14 + 4)$

Step 2

Add $- 14$ and $4$ .

$14 x^{2} + 5 - (7 x^{2} - 10)$

Step 3

Apply the distributive property.

$14 x^{2} + 5 - (7 x^{2}) - - 10$

Step 4

Multiply $7$ by $- 1$ .

$14 x^{2} + 5 - 7 x^{2} - - 10$

Step 5

Multiply $- 1$ by $- 10$ .

$14 x^{2} + 5 - 7 x^{2} + 10$

Step 6

Subtract $7 x^{2}$ from $14 x^{2}$ .

$7 x^{2} + 5 + 10$

Step 7

Add $5$ and $10$ .

$7 x^{2} + 15$

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