Dividing out a variable from a quotient
I don't think I've ever mastered this concept. If I have a problem like , can I just divide the x out to get ?
I know if I look at the first expression like then I could turn x/x into 1, but the expression would look like . The x could get brought back into the quotient if it had a common denominator.
Also, if the sample problem were would that make a difference in mathematical rules for dividing out the x? (As opposed to addition or subtraction).
I hope my question makes sense, if not I can explain more.
Re: Dividing out a variable from a quotient
No. x is not a factor of the top; you cannot simply cancel out the x.
Originally Posted by AZach
The correct simplification is , as you did, or alternatively, .