SOLUTION: What is the answer for this problem? Thanks! 3 / (2x2 + 13x + 15) – 1 / (x2 – 25)

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: What is the answer for this problem? Thanks! 3 / (2x2 + 13x + 15) – 1 / (x2 – 25)      Log On


   

Question 308284: What is the answer for this problem? Thanks!
3 / (2x2 + 13x + 15) – 1 / (x2 – 25)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
3 / (2x2 + 13x + 15) – 1 / (x2 – 25)
3/ (2x^2+10x+3x+15) - 1/(x+5)(x-5)
3/ {2x(x+5)+3(x+5)} -1/(x+5)(x-5)
3/ (2x+3)(x+5) - 1/(x+5)(x-5)
LCM = (2x+3)(x+5)(x-5)
3(x-5) - 1(2x+3) /(2x+3)(x+5)(x-5)
3x-15-2x-6 / (2x+3)(x+5)(x-5)
x-21/(2x+3)(x+5)(x-5)