Algebra Examples

Subtract $x^{2} - 2 x - 6$ from $- 6 x + 5$

Step 1

Write the problem as a mathematical expression.

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

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

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

Step 2.2

Simplify.

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Step 2.2.1

Multiply $- 2$ by $- 1$ .

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

Step 2.2.2

Multiply $- 1$ by $- 6$ .

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

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

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

Step 3

Simplify by adding terms.

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Step 3.1

Add $- 6 x$ and $2 x$ .

$- 4 x + 5 - x^{2} + 6$

Step 3.2

Add $5$ and $6$ .

$- 4 x - x^{2} + 11$

$- 4 x - x^{2} + 11$

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