Algebra Examples

$f (- 9) = - x^{2} - 10 x - 2$

Step 1

Replace the variable $x$ with $- 9$ in the expression.

$f (- 9) = - {(- 9)}^{2} - 10 \cdot - 9 - 2$

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

Raise $- 9$ to the power of $2$ .

$f (- 9) = - 1 \cdot 81 - 10 \cdot - 9 - 2$

Step 2.1.2

Multiply $- 1$ by $81$ .

$f (- 9) = - 81 - 10 \cdot - 9 - 2$

Step 2.1.3

Multiply $- 10$ by $- 9$ .

$f (- 9) = - 81 + 90 - 2$

Step 2.2

Simplify by adding and subtracting.

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Step 2.2.1

Add $- 81$ and $90$ .

$f (- 9) = 9 - 2$

Step 2.2.2

Subtract $2$ from $9$ .

$f (- 9) = 7$

Step 2.3

The final answer is $7$ .

$7$

Step 3