Simplify (6x^3+6x^2)/(2x^3-2x)

$\frac{6 x^{3} + 6 x^{2}}{2 x^{3} - 2 x}$

Factor $6 x^{2}$ out of $6 x^{3} + 6 x^{2}$ .

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

$\frac{6 x^{2} (x) + 6 x^{2}}{2 x^{3} - 2 x}$

Factor $6 x^{2}$ out of $6 x^{2}$ .

$\frac{6 x^{2} (x) + 6 x^{2} (1)}{2 x^{3} - 2 x}$

Factor $6 x^{2}$ out of $6 x^{2} (x) + 6 x^{2} (1)$ .

$\frac{6 x^{2} (x + 1)}{2 x^{3} - 2 x}$

Simplify the denominator.

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

Factor $2 x$ out of $2 x^{3}$ .

$\frac{6 x^{2} (x + 1)}{2 x (x^{2}) - 2 x}$

Factor $2 x$ out of $- 2 x$ .

$\frac{6 x^{2} (x + 1)}{2 x (x^{2}) + 2 x (- 1)}$

Factor $2 x$ out of $2 x (x^{2}) + 2 x (- 1)$ .

$\frac{6 x^{2} (x + 1)}{2 x (x^{2} - 1)}$

Rewrite $1$ as $1^{2}$ .

$\frac{6 x^{2} (x + 1)}{2 x (x^{2} - 1^{2})}$

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = x$ and $b = 1$ .

$\frac{6 x^{2} (x + 1)}{2 x (x + 1) (x - 1)}$

Reduce the expression by cancelling the common factors.

Cancel the common factor of $6$ and $2$ .

Factor $2$ out of $6 x^{2} (x + 1)$ .

$\frac{2 (3 x^{2} (x + 1))}{2 x (x + 1) (x - 1)}$

Cancel the common factors.

Factor $2$ out of $2 x (x + 1) (x - 1)$ .

$\frac{2 (3 x^{2} (x + 1))}{2 ((x (x + 1)) (x - 1))}$

Cancel the common factor.

$\frac{2 (3 x^{2} (x + 1))}{2 ((x (x + 1)) (x - 1))}$

Rewrite the expression.

$\frac{3 x^{2} (x + 1)}{(x (x + 1)) (x - 1)}$

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

Factor $x$ out of $3 x^{2} (x + 1)$ .

$\frac{x (3 x (x + 1))}{(x (x + 1)) (x - 1)}$

Cancel the common factors.

Factor $x$ out of $(x (x + 1)) (x - 1)$ .

$\frac{x (3 x (x + 1))}{x ((x + 1) (x - 1))}$

Cancel the common factor.

$\frac{x (3 x (x + 1))}{x ((x + 1) (x - 1))}$

Rewrite the expression.

$\frac{3 x (x + 1)}{(x + 1) (x - 1)}$

Cancel the common factor of $x + 1$ .

Cancel the common factor.

$\frac{3 x (x + 1)}{(x + 1) (x - 1)}$

Rewrite the expression.

$\frac{3 x}{x - 1}$

Simplify (6x^3+6x^2)/(2x^3-2x)

Related Questions

Support LCMGCF.com by disabling your adblocker.