Algebra Examples

$12 x^{4} y^{3} z^{2} w \div 2 x y^{2}$

Step 1

Rewrite the division as a fraction.

$\frac{12 x^{4} y^{3} z^{2} w}{2 x y^{2}}$

Step 2

Cancel the common factor of $12$ and $2$ .

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Step 2.1

Factor $2$ out of $12 x^{4} y^{3} z^{2} w$ .

$\frac{2 (6 x^{4} y^{3} z^{2} w)}{2 x y^{2}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $2 x y^{2}$ .

$\frac{2 (6 x^{4} y^{3} z^{2} w)}{2 (x y^{2})}$

Step 2.2.2

Cancel the common factor.

$\frac{2 (6 x^{4} y^{3} z^{2} w)}{2 (x y^{2})}$

Step 2.2.3

Rewrite the expression.

$\frac{6 x^{4} y^{3} z^{2} w}{x y^{2}}$

$\frac{6 x^{4} y^{3} z^{2} w}{x y^{2}}$

$\frac{6 x^{4} y^{3} z^{2} w}{x y^{2}}$

Step 3

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

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Step 3.1

Factor $x$ out of $6 x^{4} y^{3} z^{2} w$ .

$\frac{x (6 x^{3} y^{3} z^{2} w)}{x y^{2}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $x$ out of $x y^{2}$ .

$\frac{x (6 x^{3} y^{3} z^{2} w)}{x (y^{2})}$

Step 3.2.2

Cancel the common factor.

$\frac{x (6 x^{3} y^{3} z^{2} w)}{x y^{2}}$

Step 3.2.3

Rewrite the expression.

$\frac{6 x^{3} y^{3} z^{2} w}{y^{2}}$

$\frac{6 x^{3} y^{3} z^{2} w}{y^{2}}$

$\frac{6 x^{3} y^{3} z^{2} w}{y^{2}}$

Step 4

Cancel the common factor of $y^{3}$ and $y^{2}$ .

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Step 4.1

Factor $y^{2}$ out of $6 x^{3} y^{3} z^{2} w$ .

$\frac{y^{2} (6 x^{3} y z^{2} w)}{y^{2}}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Multiply by $1$ .

$\frac{y^{2} (6 x^{3} y z^{2} w)}{y^{2} \cdot 1}$

Step 4.2.2

Cancel the common factor.

$\frac{y^{2} (6 x^{3} y z^{2} w)}{y^{2} \cdot 1}$

Step 4.2.3

Rewrite the expression.

$\frac{6 x^{3} y z^{2} w}{1}$

Step 4.2.4

Divide $6 x^{3} y z^{2} w$ by $1$ .

$6 x^{3} y z^{2} w$

$6 x^{3} y z^{2} w$

$6 x^{3} y z^{2} w$

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