Algebra Examples

${(\frac{7}{8} - \frac{3}{8})}^{2}$

Step 1

Combine the numerators over the common denominator.

${(\frac{7 - 3}{8})}^{2}$

Step 2

Subtract $3$ from $7$ .

${(\frac{4}{8})}^{2}$

Step 3

Cancel the common factor of $4$ and $8$ .

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Step 3.1

Factor $4$ out of $4$ .

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

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $4$ out of $8$ .

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

${(\frac{1}{2})}^{2}$

${(\frac{1}{2})}^{2}$

${(\frac{1}{2})}^{2}$

Step 4

Simplify the expression.

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Step 4.1

Apply the product rule to $\frac{1}{2}$ .

$\frac{1^{2}}{2^{2}}$

Step 4.2

One to any power is one.

$\frac{1}{2^{2}}$

Step 4.3

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

$\frac{1}{4}$

$\frac{1}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$