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

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Answer 1 · 2018-04-12T05:51:18

#3/5 and x!=-2#

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!=-2#