# How do you simplify rational expressions and state restrictions on variables for (3x + 6)/ (5x + 10)?

Apr 12, 2018

$\frac{3}{5} \mathmr{and} x \ne - 2$

#### Explanation:

Factorise the expression as far a possible.

(3x+6)/(5x+10) =(3(x+2))/(5(x+2)

Now you can cancel the common factors.

(3cancel(x+2))/(5cancel(x+2) = 3/5#

For the restrictions, you have to make sure that a value of the variable does not make the denominator equal to $0$.

If $x$ has the value $- 2$ this would make $x + 2 = - 2 + 2 = 0$

SO in this case, $x \ne - 2$