Question

Rational Expressions:
4/5x-15 + x+8/4x^2 - 11x - 3

Answer 1

I understand that the first step to do is to factorize it and so I will get
4/ 5(x-3) + (x+8)/(4x+1) (x-3)
What I'm confused about is what to do next, should I just multiply (x-3) to 4?

Answer 2

(21x+44)/(20x^2-55x-15) and i can't make the denominator rational

Answer 3

the lcm = 5(4x+1)(x-3)
so multi[;y each fraction by lcm
lcm is denominator

Answer 4

multiply the 5 to (4x-1)(x-3) make it 5(4x-1)(x-3), multiply the factors on each numerator which doesn't have in its denominator

Answer 5

= 4(4x+1) + 5(x+8)
---------------
5(4x+1)(x-3)

now you need to simplify to finish off

Answer 6

thanks