Basic Math Examples

$\frac{5}{1 a^{2}} \cdot (a b + a^{2} b)$

Step 1

Multiply $a^{2}$ by $1$ .

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

Step 2

Multiply $\frac{5}{a^{2}}$ by $a b + a^{2} b$ .

$\frac{5 (a b + a^{2} b)}{a^{2}}$

Step 3

Factor $a b$ out of $a b + a^{2} b$ .

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Step 3.1

Factor $a b$ out of $a b$ .

$\frac{5 (a b (1) + a^{2} b)}{a^{2}}$

Step 3.2

Factor $a b$ out of $a^{2} b$ .

$\frac{5 (a b (1) + a b (a))}{a^{2}}$

Step 3.3

Factor $a b$ out of $a b (1) + a b (a)$ .

$\frac{5 (a b (1 + a))}{a^{2}}$

$\frac{5 a b (1 + a)}{a^{2}}$

Step 4

Cancel the common factor of $a$ and $a^{2}$ .

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Step 4.1

Factor $a$ out of $5 a b (1 + a)$ .

$\frac{a (5 b (1 + a))}{a^{2}}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $a$ out of $a^{2}$ .

$\frac{a (5 b (1 + a))}{a \cdot a}$

Step 4.2.2

Cancel the common factor.

$\frac{a (5 b (1 + a))}{a \cdot a}$

Step 4.2.3

Rewrite the expression.

$\frac{5 b (1 + a)}{a}$

$\frac{5 b (1 + a)}{a}$

$\frac{5 b (1 + a)}{a}$

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