Algebra Examples

$\frac{28 x^{9} y^{6} - 49 x^{7} y^{3} - 7 x^{2} y}{7 x^{2} y}$

Step 1

Factor $7 x^{2} y$ out of $28 x^{9} y^{6} - 49 x^{7} y^{3} - 7 x^{2} y$ .

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Step 1.1

Factor $7 x^{2} y$ out of $28 x^{9} y^{6}$ .

$\frac{7 x^{2} y (4 x^{7} y^{5}) - 49 x^{7} y^{3} - 7 x^{2} y}{7 x^{2} y}$

Step 1.2

Factor $7 x^{2} y$ out of $- 49 x^{7} y^{3}$ .

$\frac{7 x^{2} y (4 x^{7} y^{5}) + 7 x^{2} y (- 7 x^{5} y^{2}) - 7 x^{2} y}{7 x^{2} y}$

Step 1.3

Factor $7 x^{2} y$ out of $- 7 x^{2} y$ .

$\frac{7 x^{2} y (4 x^{7} y^{5}) + 7 x^{2} y (- 7 x^{5} y^{2}) + 7 x^{2} y (- 1)}{7 x^{2} y}$

Step 1.4

Factor $7 x^{2} y$ out of $7 x^{2} y (4 x^{7} y^{5}) + 7 x^{2} y (- 7 x^{5} y^{2})$ .

$\frac{7 x^{2} y (4 x^{7} y^{5} - 7 x^{5} y^{2}) + 7 x^{2} y (- 1)}{7 x^{2} y}$

Step 1.5

Factor $7 x^{2} y$ out of $7 x^{2} y (4 x^{7} y^{5} - 7 x^{5} y^{2}) + 7 x^{2} y (- 1)$ .

$\frac{7 x^{2} y (4 x^{7} y^{5} - 7 x^{5} y^{2} - 1)}{7 x^{2} y}$

Step 2

Cancel the common factor of $7$ .

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Step 2.1

Cancel the common factor.

$\frac{7 x^{2} y (4 x^{7} y^{5} - 7 x^{5} y^{2} - 1)}{7 x^{2} y}$

Step 2.2

Rewrite the expression.

$\frac{x^{2} y (4 x^{7} y^{5} - 7 x^{5} y^{2} - 1)}{x^{2} y}$

Step 3

Cancel the common factor of $x^{2}$ .

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Step 3.1

Cancel the common factor.

$\frac{x^{2} y (4 x^{7} y^{5} - 7 x^{5} y^{2} - 1)}{x^{2} y}$

Step 3.2

Rewrite the expression.

$\frac{y (4 x^{7} y^{5} - 7 x^{5} y^{2} - 1)}{y}$

Step 4

Cancel the common factor of $y$ .

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Step 4.1

Cancel the common factor.

$\frac{y (4 x^{7} y^{5} - 7 x^{5} y^{2} - 1)}{y}$

Step 4.2

Divide $4 x^{7} y^{5} - 7 x^{5} y^{2} - 1$ by $1$ .

$4 x^{7} y^{5} - 7 x^{5} y^{2} - 1$