simplify the equation

Question

6x over x^2-25 plus 3 over x+3

Answer 1

Greetings! Lets solve this shall we ?

So, we must simplify the given expression (6x) / (x²-25) + (3) / (x+3) such that we find the common denominator to be

[6x(x+3) + 3(x²-25)] / (x²-25)(x+3)

[6x² + 18x + 3x² - 75] / (x²-25)(x+3)

[9x² + 18x - 75] / (x²-25)(x+3)

I hope this helped!