Algebra Examples

$\frac{54 m^{6} n^{4}}{3 m^{2} n} - 10 m^{4} n^{3}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $54$ and $3$ .

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Step 1.1.1

Factor $3$ out of $54 m^{6} n^{4}$ .

$\frac{3 (18 m^{6} n^{4})}{3 m^{2} n} - 10 m^{4} n^{3}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $3$ out of $3 m^{2} n$ .

$\frac{3 (18 m^{6} n^{4})}{3 (m^{2} n)} - 10 m^{4} n^{3}$

Step 1.1.2.2

Cancel the common factor.

$\frac{3 (18 m^{6} n^{4})}{3 (m^{2} n)} - 10 m^{4} n^{3}$

Step 1.1.2.3

Rewrite the expression.

$\frac{18 m^{6} n^{4}}{m^{2} n} - 10 m^{4} n^{3}$

Step 1.2

Cancel the common factor of $m^{6}$ and $m^{2}$ .

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Step 1.2.1

Factor $m^{2}$ out of $18 m^{6} n^{4}$ .

$\frac{m^{2} (18 m^{4} n^{4})}{m^{2} n} - 10 m^{4} n^{3}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $m^{2}$ out of $m^{2} n$ .

$\frac{m^{2} (18 m^{4} n^{4})}{m^{2} (n)} - 10 m^{4} n^{3}$

Step 1.2.2.2

Cancel the common factor.

$\frac{m^{2} (18 m^{4} n^{4})}{m^{2} n} - 10 m^{4} n^{3}$

Step 1.2.2.3

Rewrite the expression.

$\frac{18 m^{4} n^{4}}{n} - 10 m^{4} n^{3}$

Step 1.3

Cancel the common factor of $n^{4}$ and $n$ .

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Step 1.3.1

Factor $n$ out of $18 m^{4} n^{4}$ .

$\frac{n (18 m^{4} n^{3})}{n} - 10 m^{4} n^{3}$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Raise $n$ to the power of $1$ .

$\frac{n (18 m^{4} n^{3})}{n^{1}} - 10 m^{4} n^{3}$

Step 1.3.2.2

Factor $n$ out of $n^{1}$ .

$\frac{n (18 m^{4} n^{3})}{n \cdot 1} - 10 m^{4} n^{3}$

Step 1.3.2.3

Cancel the common factor.

$\frac{n (18 m^{4} n^{3})}{n \cdot 1} - 10 m^{4} n^{3}$

Step 1.3.2.4

Rewrite the expression.

$\frac{18 m^{4} n^{3}}{1} - 10 m^{4} n^{3}$

Step 1.3.2.5

Divide $18 m^{4} n^{3}$ by $1$ .

$18 m^{4} n^{3} - 10 m^{4} n^{3}$

Step 2

Subtract $10 m^{4} n^{3}$ from $18 m^{4} n^{3}$ .

$8 m^{4} n^{3}$