Algebra Examples

$36 m \div 9 m$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Rewrite the division as a fraction.

$\frac{36 m}{9} m$

Step 3

Cancel the common factor of $36$ and $9$ .

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Step 3.1

Factor $9$ out of $36 m$ .

$\frac{9 (4 m)}{9} m$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $9$ out of $9$ .

$\frac{9 (4 m)}{9 (1)} m$

Step 3.2.2

Cancel the common factor.

$\frac{9 (4 m)}{9 \cdot 1} m$

Step 3.2.3

Rewrite the expression.

$\frac{4 m}{1} m$

Step 3.2.4

Divide $4 m$ by $1$ .

$4 m \cdot m$

Step 4

Multiply $m$ by $m$ by adding the exponents.

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Step 4.1

Move $m$ .

$4 (m \cdot m)$

Step 4.2

Multiply $m$ by $m$ .

$4 m^{2}$