SOLUTION: Simplify (x^2 - 13x + 42) / (x^2 - 36) This is a rational expression and your answer should be in the form of a rational expression. PLEASE SHOW ALL WORK THANK YOU

Question 118916: Simplify (x^2 - 13x + 42) / (x^2 - 36)
This is a rational expression and your answer should be in the form of a rational expression.
PLEASE SHOW ALL WORK
THANK YOU
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given expression

Factor to get

Factor to get

Combine the fractions

Cancel like terms

Simplify

--------------------------------------------------
Answer:

So simplifies to . In other words

RELATED QUESTIONS
I need some help with these questions please. 1.Multiply and simplify... (answered by nyc_function)

I have two questions that I need help answering? 1.When simplifying the rational... (answered by stanbon)

is 16/|x|^2 a rational expression and 15/x also a rational expression? thank... (answered by rapaljer)

I am working on dividing a rational expression with another rational expression and I am... (answered by josgarithmetic,MathTherapy)

I am dividing Rational expression by another rational expression and am getting stuck.... (answered by Boreal,MathTherapy)

Find all numbers that must be excluded from the domain of the rational... (answered by ewatrrr)

I'm trying to simplify this complex rational expression and I keep getting -3/x-y the... (answered by John10)

x^2 - 4x / x^2 - 5x - 36 simplify the given rational expression... (answered by jsmallt9)

simplify the rational expression {{{x^2+11x+30 over... (answered by algebrahouse.com)