Algebra Examples

$\frac{7 g^{3} h^{2} + 3 g^{2} h - 2 g h^{3}}{g h}$

Step 1

Factor $g h$ out of $7 g^{3} h^{2} + 3 g^{2} h - 2 g h^{3}$ .

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Step 1.1

Factor $g h$ out of $7 g^{3} h^{2}$ .

$\frac{g h (7 g^{2} h) + 3 g^{2} h - 2 g h^{3}}{g h}$

Step 1.2

Factor $g h$ out of $3 g^{2} h$ .

$\frac{g h (7 g^{2} h) + g h (3 g) - 2 g h^{3}}{g h}$

Step 1.3

Factor $g h$ out of $- 2 g h^{3}$ .

$\frac{g h (7 g^{2} h) + g h (3 g) + g h (- 2 h^{2})}{g h}$

Step 1.4

Factor $g h$ out of $g h (7 g^{2} h) + g h (3 g)$ .

$\frac{g h (7 g^{2} h + 3 g) + g h (- 2 h^{2})}{g h}$

Step 1.5

Factor $g h$ out of $g h (7 g^{2} h + 3 g) + g h (- 2 h^{2})$ .

$\frac{g h (7 g^{2} h + 3 g - 2 h^{2})}{g h}$

Step 2

Cancel the common factor of $g$ .

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Step 2.1

Cancel the common factor.

$\frac{g h (7 g^{2} h + 3 g - 2 h^{2})}{g h}$

Step 2.2

Rewrite the expression.

$\frac{h (7 g^{2} h + 3 g - 2 h^{2})}{h}$

Step 3

Cancel the common factor of $h$ .

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Step 3.1

Cancel the common factor.

$\frac{h (7 g^{2} h + 3 g - 2 h^{2})}{h}$

Step 3.2

Divide $7 g^{2} h + 3 g - 2 h^{2}$ by $1$ .

$7 g^{2} h + 3 g - 2 h^{2}$

Step 4

Move $3 g$ .

$7 g^{2} h - 2 h^{2} + 3 g$