Algebra Examples

$f (8) = \frac{8^{2} - 5 \cdot 8 - 36}{8^{2} - 16 \cdot 8 + 64}$

Step 1

Simplify each term.

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Step 1.1

Raise $8$ to the power of $2$ .

$f (8) = \frac{8^{2} - 5 \cdot 8 - 36}{64 - 16 \cdot 8 + 64}$

Step 1.2

Multiply $- 16$ by $8$ .

$f (8) = \frac{8^{2} - 5 \cdot 8 - 36}{64 - 128 + 64}$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $128$ from $64$ .

$f (8) = \frac{8^{2} - 5 \cdot 8 - 36}{- 64 + 64}$

Step 2.2

Add $- 64$ and $64$ .

$f (8) = \frac{8^{2} - 5 \cdot 8 - 36}{0}$

Step 2.3

The expression contains a division by $0$ . The expression is undefined.

$f (8) = Undefined$

$f (8) = \frac{8^{2} - 5 \cdot 8 - 36}{0}$

Step 3

The expression contains a division by $0$ . The expression is undefined.

Undefined