Algebra Examples

$2 x^{2} + (4 x - 6 x^{2}) + 9 - (6 x + 3)$

Step 1

Remove parentheses.

$2 x^{2} + 4 x - 6 x^{2} + 9 - (6 x + 3)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$2 x^{2} + 4 x - 6 x^{2} + 9 - (6 x) - 1 \cdot 3$

Step 2.2

Multiply $6$ by $- 1$ .

$2 x^{2} + 4 x - 6 x^{2} + 9 - 6 x - 1 \cdot 3$

Step 2.3

Multiply $- 1$ by $3$ .

$2 x^{2} + 4 x - 6 x^{2} + 9 - 6 x - 3$

$2 x^{2} + 4 x - 6 x^{2} + 9 - 6 x - 3$

Step 3

Simplify by adding terms.

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Step 3.1

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

$- 4 x^{2} + 4 x + 9 - 6 x - 3$

Step 3.2

Subtract $6 x$ from $4 x$ .

$- 4 x^{2} - 2 x + 9 - 3$

Step 3.3

Subtract $3$ from $9$ .

$- 4 x^{2} - 2 x + 6$

$- 4 x^{2} - 2 x + 6$

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