Question

Please help me :) Two fellow students, Theo and Paula, have added two rational expressions. They ended up at different answers so they have asked you to check their work. Please explain to them any errors that you find. I will screenshot the chart the follows this

Answer 1

3. Wally is very thankful for your help, but he is still stuck. Describe to Wally how adding and subtracting rational expressions is similar to adding and subtracting simple fractions, and how they are different

Answer 2

so i know 2x+5/x^2-3x-10 + x+1/x+2 = x(x-2)/(x+2)(x-5) But I need the work in between to understand how to answer the question

Answer 3

I can help u out

Answer 4

2x + 5/(x^2 - 3x - 10) Lets simplify this first

Answer 5

x^2 - 3x - 10 => x^2 -5x + 2x - 10 => x(x - 5) + 2 (x - 5) =>(x + 2) (x - 5)

Answer 6

2x + 5/ (x + 2) (x - 5) + x + 1/ x + 2

Now take the LCM of denominators which will be (x + 2) (x - 5)

2x + 5 + (x + 1) (x - 5)/ (x + 2) ( x - 5)

2x + 5 + x^2 -4x - 5 / (x + 2) (x - 5)
x^2-2x / (x + 2) (x - 5)

Answer 7

x ( x - 2) / (x + 2) (x - 5) Thats ur answer there

Answer 8

thank you!!!!!!