Basic Math Examples

$\frac{j + k}{4} - \frac{j - k}{4}$

Step 1

Combine the numerators over the common denominator.

$\frac{j + k - (j - k)}{4}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{j + k - j - - k}{4}$

Step 2.2

Multiply $- - k$ .

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Step 2.2.1

Multiply $- 1$ by $- 1$ .

$\frac{j + k - j + 1 k}{4}$

Step 2.2.2

Multiply $k$ by $1$ .

$\frac{j + k - j + k}{4}$

$\frac{j + k - j + k}{4}$

$\frac{j + k - j + k}{4}$

Step 3

Simplify terms.

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Step 3.1

Combine the opposite terms in $j + k - j + k$ .

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Step 3.1.1

Subtract $j$ from $j$ .

$\frac{k + 0 + k}{4}$

Step 3.1.2

Add $k$ and $0$ .

$\frac{k + k}{4}$

$\frac{k + k}{4}$

Step 3.2

Add $k$ and $k$ .

$\frac{2 k}{4}$

Step 3.3

Cancel the common factor of $2$ and $4$ .

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Step 3.3.1

Factor $2$ out of $2 k$ .

$\frac{2 (k)}{4}$

Step 3.3.2

Cancel the common factors.

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Step 3.3.2.1

Factor $2$ out of $4$ .

$\frac{2 k}{2 \cdot 2}$

Step 3.3.2.2

Cancel the common factor.

$\frac{2 k}{2 \cdot 2}$

Step 3.3.2.3

Rewrite the expression.

$\frac{k}{2}$

$\frac{k}{2}$

$\frac{k}{2}$

$\frac{k}{2}$

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