Algebra Addition and Subtraction of Rational Expressions

Algebra
Tutor: None Selected Time limit: 1 Day

Oct 23rd, 2015

Thank you for the opportunity to help you with your question!

Factor the denominators:

a^2 + a - 12 = (a+4)(a-3)

a^2 + 5a + 4 = (a+4)(a+1)

They both have (a+4) in common, but 3a-2 needs (a+1) in the denominator and a-2 needs (a-3) in the denominator. Multiply both fractions by the denominator of the other to get:

2(a-1)/(a-3)(a+1) :)

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 23rd, 2015

Thank you so much! I'm curious though how you factored after multiplying each numerator by the perspective denominator factor, so when you multiplied 3a-2 by (a+1) and (a-2) by (a-3), how were you able to simplify? Did you multiply first so 3a-2*(a+1) = 3a^2-5a+2 then simplified? 

I'm having trouble with how you were able to factor everything and get 2(a-1) in the numerator!! 


Thank you!!

 

Oct 24th, 2015

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