Question

Can someone please help me to answer this math question? Please? I will fan and give a medal...
Please help me to simplify this Rational Expression -
5 2x+5
-------- - -------------
x+5 x^2+9x+20

Answer 1

you need to get a common denominator. Start by factoring \(x^2+9x+20\)

Answer 2

(5 + x)(4 + x)

Answer 3

right. so now you have to make the first fraction have the same denominator by multiplying both numerator and denominator by (x + 4). Like this

\[\frac{ 5(x+4) }{ (x+5)(x+4) }-\frac{ 2x+5 }{ (x+5)(x+4) }\]

Then you can combine it into 1 fraction like this
\[\frac{ 5(x+4)-(2x+5) }{ (x+4)(x+5) }\]
Simplify the top

Answer 4

ok

Answer 5

3
----
(x+4) ?
@peachpi

Answer 6

yes

Answer 7

so that's the answer?

Answer 8

Thank you so much for the help!! I really appreciate it :)