Algebra Examples

${(5 - \frac{1}{5} \cdot 5)}^{2} (\frac{6}{3}) - (7) - 3 \cdot \frac{1}{5} \cdot 5$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Cancel the common factor of $5$ .

Tap for more steps...

Step 1.1.1

Move the leading negative in $- \frac{1}{5}$ into the numerator.

${(5 + \frac{- 1}{5} \cdot 5)}^{2} \frac{6}{3} - (7) - 3 \cdot \frac{1}{5} \cdot 5$

Step 1.1.2

Cancel the common factor.

${(5 + \frac{- 1}{5} \cdot 5)}^{2} \frac{6}{3} - (7) - 3 \cdot \frac{1}{5} \cdot 5$

Step 1.1.3

Rewrite the expression.

${(5 - 1)}^{2} \frac{6}{3} - (7) - 3 \cdot \frac{1}{5} \cdot 5$

Step 1.2

Subtract $1$ from $5$ .

$4^{2} \frac{6}{3} - (7) - 3 \cdot \frac{1}{5} \cdot 5$

Step 1.3

Raise $4$ to the power of $2$ .

$16 (\frac{6}{3}) - (7) - 3 \cdot \frac{1}{5} \cdot 5$

Step 1.4

Divide $6$ by $3$ .

$16 \cdot 2 - (7) - 3 \cdot \frac{1}{5} \cdot 5$

Step 1.5

Multiply $16$ by $2$ .

$32 - (7) - 3 \cdot \frac{1}{5} \cdot 5$

Step 1.6

Multiply $- 1$ by $7$ .

$32 - 7 - 3 \cdot \frac{1}{5} \cdot 5$

Step 1.7

Combine $- 3$ and $\frac{1}{5}$ .

$32 - 7 + \frac{- 3}{5} \cdot 5$

Step 1.8

Cancel the common factor of $5$ .

Tap for more steps...

Step 1.8.1

Cancel the common factor.

$32 - 7 + \frac{- 3}{5} \cdot 5$

Step 1.8.2

Rewrite the expression.

$32 - 7 - 3$

Step 2

Simplify by subtracting numbers.

Tap for more steps...

Step 2.1

Subtract $7$ from $32$ .

$25 - 3$

Step 2.2

Subtract $3$ from $25$ .

$22$