Basic Math Examples

a^{2} + \frac{5}{4} \cdot (a b) + \frac{25}{64} b^{2}

$a^{2} + \frac{5}{4} \cdot (a b) + \frac{25}{64} b^{2}$

Step 1

Multiply

\frac{5}{4} (a b)

$\frac{5}{4} (a b)$ .

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Step 1.1

Combine

a

$a$ and

\frac{5}{4}

$\frac{5}{4}$ .

a^{2} + \frac{a \cdot 5}{4} b + \frac{25}{64} b^{2}

$a^{2} + \frac{a \cdot 5}{4} b + \frac{25}{64} b^{2}$

Step 1.2

Combine

\frac{a \cdot 5}{4}

$\frac{a \cdot 5}{4}$ and

b

$b$ .

a^{2} + \frac{a \cdot 5 b}{4} + \frac{25}{64} b^{2}

$a^{2} + \frac{a \cdot 5 b}{4} + \frac{25}{64} b^{2}$

a^{2} + \frac{a \cdot 5 b}{4} + \frac{25}{64} b^{2}

$a^{2} + \frac{a \cdot 5 b}{4} + \frac{25}{64} b^{2}$

Step 2

Move

5

$5$ to the left of

a

$a$ .

a^{2} + \frac{5 \cdot a b}{4} + \frac{25}{64} b^{2}

$a^{2} + \frac{5 \cdot a b}{4} + \frac{25}{64} b^{2}$

Step 3

Combine

\frac{25}{64}

$\frac{25}{64}$ and

b^{2}

$b^{2}$ .

a^{2} + \frac{5 a b}{4} + \frac{25 b^{2}}{64}

$a^{2} + \frac{5 a b}{4} + \frac{25 b^{2}}{64}$