Algebra Examples

$\frac{5^{2} \cdot 4 - 5 \cdot 4^{2}}{5 (4)}$

Step 1

Cancel the common factor of $5^{2} \cdot 4 - 5 \cdot 4^{2}$ and $5$ .

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Step 1.1

Factor $- 1$ out of $5^{2} \cdot 4$ .

$\frac{- (- 5^{2} \cdot 4) - 5 \cdot 4^{2}}{5 (4)}$

Step 1.2

Factor $- 1$ out of $- 5 \cdot 4^{2}$ .

$\frac{- (- 5^{2} \cdot 4) - (5 \cdot 4^{2})}{5 (4)}$

Step 1.3

Factor $- 1$ out of $- (- 5^{2} \cdot 4) - (5 \cdot 4^{2})$ .

$\frac{- (- 5^{2} \cdot 4 + 5 \cdot 4^{2})}{5 (4)}$

Step 1.4

Rewrite $- (- 5^{2} \cdot 4 + 5 \cdot 4^{2})$ as $- 1 (- 5^{2} \cdot 4 + 5 \cdot 4^{2})$ .

$\frac{- 1 (- 5^{2} \cdot 4 + 5 \cdot 4^{2})}{5 (4)}$

Step 1.5

Factor $5$ out of $- 1 (- 5^{2} \cdot 4 + 5 \cdot 4^{2})$ .

$\frac{5 (- 1 (- 1 \cdot 5 \cdot 4 + 4^{2}))}{5 (4)}$

Step 1.6

Cancel the common factors.

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Step 1.6.1

Cancel the common factor.

$\frac{5 (- 1 (- 1 \cdot 5 \cdot 4 + 4^{2}))}{5 \cdot 4}$

Step 1.6.2

Rewrite the expression.

$\frac{- 1 (- 1 \cdot 5 \cdot 4 + 4^{2})}{4}$

Step 2

Cancel the common factor of $- 1 \cdot 5 \cdot 4 + 4^{2}$ and $4$ .

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Step 2.1

Factor $4$ out of $- 1 (- 1 \cdot 5 \cdot 4 + 4^{2})$ .

$\frac{4 (- 1 (- 1 \cdot 5 + 4))}{4}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $4$ out of $4$ .

$\frac{4 (- 1 (- 1 \cdot 5 + 4))}{4 (1)}$

Step 2.2.2

Cancel the common factor.

$\frac{4 (- 1 (- 1 \cdot 5 + 4))}{4 \cdot 1}$

Step 2.2.3

Rewrite the expression.

$\frac{- 1 (- 1 \cdot 5 + 4)}{1}$

Step 2.2.4

Divide $- 1 (- 1 \cdot 5 + 4)$ by $1$ .

$- 1 (- 1 \cdot 5 + 4)$

Step 3

Simplify the expression.

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Step 3.1

Rewrite $- 1 (- 1 \cdot 5 + 4)$ as $- (- 1 \cdot 5 + 4)$ .

$- (- 1 \cdot 5 + 4)$

Step 3.2

Multiply $- 1$ by $5$ .

$- (- 5 + 4)$

Step 3.3

Add $- 5$ and $4$ .

$- - 1$

Step 3.4

Multiply $- 1$ by $- 1$ .

$1$