Question

simplify and state any restrictions:

1. x+3/x^2+11x+24 - 2x+10/x^2+11x+30
answer: -x-10/(x+8)(x+6)

2. x-4/x^2-8x+16 + 3x+21/x^2+12x+35
answer: 4x-7/(x-4)(x+5)

i don't uderstand how to do it. can you please show me the steps. thanks

Answer 1

I am guessing since your typing without parentheses is ambiguous

(x+3)/(x^2+11x+24) - (2x+10)/(x^2+11x+30)

(x+3)/[(x+8)(x+3)] - 2(x+5)/[(x+5)(x+6)]

1/(x+8) - 2/(x+6)

[ (x+6)-2(x+8) ] /[(x+8)(x+6)]

[-x -10 ] / [(x+8)(x+6)]

Answer 2

(x-4)/(x^2-8x+16) + 3(x+7)/(x^2+12x+35)

(x-4)/[(x-4)(x-4)] + 3(x+7)/[(x+7)(x+5)]

proceed just like the other one.

Answer 3

thank you so much i get it now !! :)

Answer 4

Great!! You are welcome :)

Answer 5

Note, it talks about restrictions. Watch out for zeros in denominators.