Basic Math Examples

$\frac{- 1^{2} + 8 (- 1) + 7}{- 1^{2} - (- 1) - 2}$

Step 1

Simplify the numerator.

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Step 1.1

One to any power is one.

$\frac{- 1 \cdot 1 + 8 (- 1) + 7}{- 1^{2} - (- 1) - 2}$

Step 1.2

Multiply $- 1$ by $1$ .

$\frac{- 1 + 8 (- 1) + 7}{- 1^{2} - (- 1) - 2}$

Step 1.3

Multiply $8$ by $- 1$ .

$\frac{- 1 - 8 + 7}{- 1^{2} - (- 1) - 2}$

Step 1.4

Subtract $8$ from $- 1$ .

$\frac{- 9 + 7}{- 1^{2} - (- 1) - 2}$

Step 1.5

Add $- 9$ and $7$ .

$\frac{- 2}{- 1^{2} - (- 1) - 2}$

Step 2

Simplify the denominator.

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Step 2.1

One to any power is one.

$\frac{- 2}{- 1 \cdot 1 - (- 1) - 2}$

Step 2.2

Multiply $- 1$ by $1$ .

$\frac{- 2}{- 1 - (- 1) - 2}$

Step 2.3

Multiply $- 1$ by $- 1$ .

$\frac{- 2}{- 1 + 1 - 2}$

Step 2.4

Add $- 1$ and $1$ .

$\frac{- 2}{0 - 2}$

Step 2.5

Subtract $2$ from $0$ .

$\frac{- 2}{- 2}$

Step 3

Divide $- 2$ by $- 2$ .

$1$