Basic Math Examples

A = \frac{1}{2} \cdot (h (B + b) f o r h)

$A = \frac{1}{2} \cdot (h (B + b) f o r h)$

Step 1

Remove parentheses.

A = \frac{1}{2} \cdot ((h (B + b) f o r) h)

$A = \frac{1}{2} \cdot ((h (B + b) f o r) h)$

Step 2

Remove parentheses.

A = \frac{1}{2} \cdot ((h (B + b) f o) r h)

$A = \frac{1}{2} \cdot ((h (B + b) f o) r h)$

Step 3

Remove parentheses.

A = \frac{1}{2} \cdot ((h (B + b) f) o r h)

$A = \frac{1}{2} \cdot ((h (B + b) f) o r h)$

Step 4

Remove parentheses.

A = \frac{1}{2} \cdot ((h (B + b)) f o r h)

$A = \frac{1}{2} \cdot ((h (B + b)) f o r h)$

Step 5

Remove parentheses.

A = \frac{1}{2} \cdot (h (B + b) f o r h)

$A = \frac{1}{2} \cdot (h (B + b) f o r h)$

Step 6

Simplify

\frac{1}{2} \cdot (h (B + b) f o r h)

$\frac{1}{2} \cdot (h (B + b) f o r h)$ .

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Step 6.1

Multiply

h

$h$ by

h

$h$ by adding the exponents.

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Step 6.1.1

Move

h

$h$ .

A = \frac{1}{2} \cdot (h \cdot h (B + b) f o r)

$A = \frac{1}{2} \cdot (h \cdot h (B + b) f o r)$

Step 6.1.2

Multiply

h

$h$ by

h

$h$ .

A = \frac{1}{2} \cdot (h^{2} (B + b) f o r)

$A = \frac{1}{2} \cdot (h^{2} (B + b) f o r)$

A = \frac{1}{2} \cdot (h^{2} (B + b) f o r)

$A = \frac{1}{2} \cdot (h^{2} (B + b) f o r)$

Step 6.2

Apply the distributive property.

A = \frac{1}{2} \cdot ((h^{2} B + h^{2} b) f o r)

$A = \frac{1}{2} \cdot ((h^{2} B + h^{2} b) f o r)$

Step 6.3

Apply the distributive property.

A = \frac{1}{2} \cdot ((h^{2} B f + h^{2} b f) o r)

$A = \frac{1}{2} \cdot ((h^{2} B f + h^{2} b f) o r)$

Step 6.4

Apply the distributive property.

A = \frac{1}{2} \cdot ((h^{2} B f o + h^{2} b f o) r)

$A = \frac{1}{2} \cdot ((h^{2} B f o + h^{2} b f o) r)$

Step 6.5

Apply the distributive property.

A = \frac{1}{2} \cdot (h^{2} B f o r + h^{2} b f o r)

$A = \frac{1}{2} \cdot (h^{2} B f o r + h^{2} b f o r)$

Step 6.6

Apply the distributive property.

A = \frac{1}{2} (h^{2} B f o r) + \frac{1}{2} (h^{2} b f o r)

$A = \frac{1}{2} (h^{2} B f o r) + \frac{1}{2} (h^{2} b f o r)$

Step 6.7

Multiply

\frac{1}{2} (h^{2} B f o r)

$\frac{1}{2} (h^{2} B f o r)$ .

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Step 6.7.1

Combine

h^{2}

$h^{2}$ and

\frac{1}{2}

$\frac{1}{2}$ .

A = \frac{h^{2}}{2} (B f o r) + \frac{1}{2} (h^{2} b f o r)

$A = \frac{h^{2}}{2} (B f o r) + \frac{1}{2} (h^{2} b f o r)$

Step 6.7.2

Combine

B

$B$ and

\frac{h^{2}}{2}

$\frac{h^{2}}{2}$ .

A = \frac{B h^{2}}{2} (f o r) + \frac{1}{2} (h^{2} b f o r)

$A = \frac{B h^{2}}{2} (f o r) + \frac{1}{2} (h^{2} b f o r)$

Step 6.7.3

Combine

f

$f$ and

\frac{B h^{2}}{2}

$\frac{B h^{2}}{2}$ .

A = \frac{f (B h^{2})}{2} (o r) + \frac{1}{2} (h^{2} b f o r)

$A = \frac{f (B h^{2})}{2} (o r) + \frac{1}{2} (h^{2} b f o r)$

Step 6.7.4

Combine

o

$o$ and

\frac{f (B h^{2})}{2}

$\frac{f (B h^{2})}{2}$ .

A = \frac{o (f (B h^{2}))}{2} r + \frac{1}{2} (h^{2} b f o r)

$A = \frac{o (f (B h^{2}))}{2} r + \frac{1}{2} (h^{2} b f o r)$

Step 6.7.5

Combine

\frac{o (f (B h^{2}))}{2}

$\frac{o (f (B h^{2}))}{2}$ and

r

$r$ .

A = \frac{o (f (B h^{2})) r}{2} + \frac{1}{2} (h^{2} b f o r)

$A = \frac{o (f (B h^{2})) r}{2} + \frac{1}{2} (h^{2} b f o r)$

A = \frac{o (f (B h^{2})) r}{2} + \frac{1}{2} (h^{2} b f o r)

$A = \frac{o (f (B h^{2})) r}{2} + \frac{1}{2} (h^{2} b f o r)$

Step 6.8

Multiply

\frac{1}{2} (h^{2} b f o r)

$\frac{1}{2} (h^{2} b f o r)$ .

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Step 6.8.1

Combine

h^{2}

$h^{2}$ and

\frac{1}{2}

$\frac{1}{2}$ .

A = \frac{o (f (B h^{2})) r}{2} + \frac{h^{2}}{2} (b f o r)

$A = \frac{o (f (B h^{2})) r}{2} + \frac{h^{2}}{2} (b f o r)$

Step 6.8.2

Combine

b

$b$ and

\frac{h^{2}}{2}

$\frac{h^{2}}{2}$ .

A = \frac{o (f (B h^{2})) r}{2} + \frac{b h^{2}}{2} (f o r)

$A = \frac{o (f (B h^{2})) r}{2} + \frac{b h^{2}}{2} (f o r)$

Step 6.8.3

Combine

f

$f$ and

\frac{b h^{2}}{2}

$\frac{b h^{2}}{2}$ .

A = \frac{o (f (B h^{2})) r}{2} + \frac{f (b h^{2})}{2} (o r)

$A = \frac{o (f (B h^{2})) r}{2} + \frac{f (b h^{2})}{2} (o r)$

Step 6.8.4

Combine

o

$o$ and

\frac{f (b h^{2})}{2}

$\frac{f (b h^{2})}{2}$ .

A = \frac{o (f (B h^{2})) r}{2} + \frac{o (f (b h^{2}))}{2} r

$A = \frac{o (f (B h^{2})) r}{2} + \frac{o (f (b h^{2}))}{2} r$

Step 6.8.5

Combine

\frac{o (f (b h^{2}))}{2}

$\frac{o (f (b h^{2}))}{2}$ and

r

$r$ .

A = \frac{o (f (B h^{2})) r}{2} + \frac{o (f (b h^{2})) r}{2}

$A = \frac{o (f (B h^{2})) r}{2} + \frac{o (f (b h^{2})) r}{2}$

A = \frac{o (f (B h^{2})) r}{2} + \frac{o (f (b h^{2})) r}{2}

$A = \frac{o (f (B h^{2})) r}{2} + \frac{o (f (b h^{2})) r}{2}$

Step 6.9

Remove parentheses.

A = \frac{o f B h^{2} r}{2} + \frac{o f b h^{2} r}{2}

$A = \frac{o f B h^{2} r}{2} + \frac{o f b h^{2} r}{2}$

Step 6.10

Simplify the expression.

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Step 6.10.1

Move

B

$B$ .

A = \frac{o f h^{2} r B}{2} + \frac{o f b h^{2} r}{2}

$A = \frac{o f h^{2} r B}{2} + \frac{o f b h^{2} r}{2}$

Step 6.10.2

Move

o

$o$ .

A = \frac{f h^{2} o r B}{2} + \frac{o f b h^{2} r}{2}

$A = \frac{f h^{2} o r B}{2} + \frac{o f b h^{2} r}{2}$

Step 6.10.3

Move

o

$o$ .

A = \frac{f h^{2} o r B}{2} + \frac{f b h^{2} o r}{2}

$A = \frac{f h^{2} o r B}{2} + \frac{f b h^{2} o r}{2}$

Step 6.10.4

Reorder

f

$f$ and

b

$b$ .

A = \frac{f h^{2} o r B}{2} + \frac{b f h^{2} o r}{2}

$A = \frac{f h^{2} o r B}{2} + \frac{b f h^{2} o r}{2}$

A = \frac{f h^{2} o r B}{2} + \frac{b f h^{2} o r}{2}

$A = \frac{f h^{2} o r B}{2} + \frac{b f h^{2} o r}{2}$

A = \frac{f h^{2} o r B}{2} + \frac{b f h^{2} o r}{2}

$A = \frac{f h^{2} o r B}{2} + \frac{b f h^{2} o r}{2}$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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