Pre-Algebra Examples

$(3 x^{2} - 12 x + 5) - (x^{2} + 6 x - 11)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 x^{2} - 12 x + 5 - x^{2} - (6 x) - - 11$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $6$ by $- 1$ .

$3 x^{2} - 12 x + 5 - x^{2} - 6 x - - 11$

Step 1.2.2

Multiply $- 1$ by $- 11$ .

$3 x^{2} - 12 x + 5 - x^{2} - 6 x + 11$

$3 x^{2} - 12 x + 5 - x^{2} - 6 x + 11$

$3 x^{2} - 12 x + 5 - x^{2} - 6 x + 11$

Step 2

Simplify by adding terms.

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Step 2.1

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

$2 x^{2} - 12 x + 5 - 6 x + 11$

Step 2.2

Subtract $6 x$ from $- 12 x$ .

$2 x^{2} - 18 x + 5 + 11$

Step 2.3

Add $5$ and $11$ .

$2 x^{2} - 18 x + 16$

$2 x^{2} - 18 x + 16$

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