Pre-Algebra Examples

$\frac{16 x^{2} y - 20 x^{2} - 4 x}{4 x y}$

Step 1

Factor $4 x$ out of $16 x^{2} y - 20 x^{2} - 4 x$ .

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Step 1.1

Factor $4 x$ out of $16 x^{2} y$ .

$\frac{4 x (4 x y) - 20 x^{2} - 4 x}{4 x y}$

Step 1.2

Factor $4 x$ out of $- 20 x^{2}$ .

$\frac{4 x (4 x y) + 4 x (- 5 x) - 4 x}{4 x y}$

Step 1.3

Factor $4 x$ out of $- 4 x$ .

$\frac{4 x (4 x y) + 4 x (- 5 x) + 4 x (- 1)}{4 x y}$

Step 1.4

Factor $4 x$ out of $4 x (4 x y) + 4 x (- 5 x)$ .

$\frac{4 x (4 x y - 5 x) + 4 x (- 1)}{4 x y}$

Step 1.5

Factor $4 x$ out of $4 x (4 x y - 5 x) + 4 x (- 1)$ .

$\frac{4 x (4 x y - 5 x - 1)}{4 x y}$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Cancel the common factor.

$\frac{4 x (4 x y - 5 x - 1)}{4 x y}$

Step 2.2

Rewrite the expression.

$\frac{x (4 x y - 5 x - 1)}{x y}$

Step 3

Cancel the common factor of $x$ .

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Step 3.1

Cancel the common factor.

$\frac{x (4 x y - 5 x - 1)}{x y}$

Step 3.2

Rewrite the expression.

$\frac{4 x y - 5 x - 1}{y}$

Step 4

Split the fraction $\frac{4 x y - 5 x - 1}{y}$ into two fractions.

$\frac{4 x y - 5 x}{y} + \frac{- 1}{y}$

Step 5

Split the fraction $\frac{4 x y - 5 x}{y}$ into two fractions.

$\frac{4 x y}{y} + \frac{- 5 x}{y} + \frac{- 1}{y}$

Step 6

Cancel the common factor of $y$ .

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Step 6.1

Cancel the common factor.

$\frac{4 x y}{y} + \frac{- 5 x}{y} + \frac{- 1}{y}$

Step 6.2

Divide $4 x$ by $1$ .

$4 x + \frac{- 5 x}{y} + \frac{- 1}{y}$

Step 7

Move the negative in front of the fraction.

$4 x - \frac{5 x}{y} + \frac{- 1}{y}$

Step 8

Move the negative in front of the fraction.

$4 x - \frac{5 x}{y} - \frac{1}{y}$