Algebra Examples

$8 + 3^{2} \cdot (25 - 5) \div 4 + 3$

Step 1

Subtract $5$ from $25$ .

$8 + 3^{2} \cdot 20 \div 4 + 3$

Step 2

Find the common denominator.

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Step 2.1

Write $8$ as a fraction with denominator $1$ .

$\frac{8}{1} + 3^{2} \cdot 20 \div 4 + 3$

Step 2.2

Multiply $\frac{8}{1}$ by $\frac{4}{4}$ .

$\frac{8}{1} \cdot \frac{4}{4} + 3^{2} \cdot 20 \div 4 + 3$

Step 2.3

Multiply $\frac{8}{1}$ by $\frac{4}{4}$ .

$\frac{8 \cdot 4}{4} + 3^{2} \cdot 20 \div 4 + 3$

Step 2.4

Write $3$ as a fraction with denominator $1$ .

$\frac{8 \cdot 4}{4} + 3^{2} \cdot 20 \div 4 + \frac{3}{1}$

Step 2.5

Multiply $\frac{3}{1}$ by $\frac{4}{4}$ .

$\frac{8 \cdot 4}{4} + 3^{2} \cdot 20 \div 4 + \frac{3}{1} \cdot \frac{4}{4}$

Step 2.6

Multiply $\frac{3}{1}$ by $\frac{4}{4}$ .

$\frac{8 \cdot 4}{4} + 3^{2} \cdot 20 \div 4 + \frac{3 \cdot 4}{4}$

Step 3

Combine the numerators over the common denominator.

$\frac{8 \cdot 4 + 3^{2} \cdot 20 + 3 \cdot 4}{4}$

Step 4

Simplify each term.

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Step 4.1

Multiply $8$ by $4$ .

$\frac{32 + 3^{2} \cdot 20 + 3 \cdot 4}{4}$

Step 4.2

Raise $3$ to the power of $2$ .

$\frac{32 + 9 \cdot 20 + 3 \cdot 4}{4}$

Step 4.3

Multiply $9$ by $20$ .

$\frac{32 + 180 + 3 \cdot 4}{4}$

Step 4.4

Multiply $3$ by $4$ .

$\frac{32 + 180 + 12}{4}$

Step 5

Simplify the expression.

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Step 5.1

Add $32$ and $180$ .

$\frac{212 + 12}{4}$

Step 5.2

Add $212$ and $12$ .

$\frac{224}{4}$

Step 5.3

Divide $224$ by $4$ .

$56$