Algebra Examples

$5 x^{2} + 6 x + 12 - (2 x^{2} + x + 3)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 x^{2} + 6 x + 12 - (2 x^{2}) - x - 1 \cdot 3$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $2$ by $- 1$ .

$5 x^{2} + 6 x + 12 - 2 x^{2} - x - 1 \cdot 3$

Step 1.2.2

Multiply $- 1$ by $3$ .

$5 x^{2} + 6 x + 12 - 2 x^{2} - x - 3$

$5 x^{2} + 6 x + 12 - 2 x^{2} - x - 3$

$5 x^{2} + 6 x + 12 - 2 x^{2} - x - 3$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $2 x^{2}$ from $5 x^{2}$ .

$3 x^{2} + 6 x + 12 - x - 3$

Step 2.2

Subtract $x$ from $6 x$ .

$3 x^{2} + 5 x + 12 - 3$

Step 2.3

Subtract $3$ from $12$ .

$3 x^{2} + 5 x + 9$

$3 x^{2} + 5 x + 9$

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