Basic Math Examples

$\frac{4^{2} - 4 - 72}{4 - 8}$

Step 1

Cancel the common factor of $4^{2} - 4 - 72$ and $4 - 8$ .

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Step 1.1

Factor $- 1$ out of $4^{2}$ .

$\frac{- 1 (- 4^{2}) - 4 - 72}{4 - 8}$

Step 1.2

Rewrite $- 4$ as $- 1 (4)$ .

$\frac{- 1 (- 4^{2}) - 1 (4) - 72}{4 - 8}$

Step 1.3

Factor $- 1$ out of $- 1 (- 4^{2}) - 1 (4)$ .

$\frac{- 1 (- 4^{2} + 4) - 72}{4 - 8}$

Step 1.4

Rewrite $- 72$ as $- 1 (72)$ .

$\frac{- 1 (- 4^{2} + 4) - 1 (72)}{4 - 8}$

Step 1.5

Factor $- 1$ out of $- 1 (- 4^{2} + 4) - 1 (72)$ .

$\frac{- 1 (- 4^{2} + 4 + 72)}{4 - 8}$

Step 1.6

Factor $4$ out of $- 1 (- 4^{2} + 4 + 72)$ .

$\frac{4 (- 1 (- 1 \cdot 4 + 1 + 18))}{4 - 8}$

Step 1.7

Cancel the common factors.

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Step 1.7.1

Factor $4$ out of $4$ .

$\frac{4 (- 1 (- 1 \cdot 4 + 1 + 18))}{4 (1) - 8}$

Step 1.7.2

Factor $4$ out of $- 8$ .

$\frac{4 (- 1 (- 1 \cdot 4 + 1 + 18))}{4 \cdot 1 + 4 \cdot - 2}$

Step 1.7.3

Factor $4$ out of $4 \cdot 1 + 4 \cdot - 2$ .

$\frac{4 (- 1 (- 1 \cdot 4 + 1 + 18))}{4 \cdot (1 - 2)}$

Step 1.7.4

Cancel the common factor.

$\frac{4 (- 1 (- 1 \cdot 4 + 1 + 18))}{4 \cdot (1 - 2)}$

Step 1.7.5

Rewrite the expression.

$\frac{- 1 (- 1 \cdot 4 + 1 + 18)}{1 - 2}$

Step 2

Simplify the numerator.

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Step 2.1

Multiply $- 1$ by $4$ .

$\frac{- 1 (- 4 + 1 + 18)}{1 - 2}$

Step 2.2

Add $- 4$ and $1$ .

$\frac{- 1 (- 3 + 18)}{1 - 2}$

Step 2.3

Add $- 3$ and $18$ .

$\frac{- 1 \cdot 15}{1 - 2}$

Step 3

Simplify the expression.

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Step 3.1

Subtract $2$ from $1$ .

$\frac{- 1 \cdot 15}{- 1}$

Step 3.2

Multiply $- 1$ by $15$ .

$\frac{- 15}{- 1}$

Step 3.3

Divide $- 15$ by $- 1$ .

$15$