Question

Simplify the rational expression. State any excluded values.

Answer 1

As a start : factor the denominator

Answer 2

I'm not sure how =/

Answer 3

in the denominator you have \(-5x + x^2\)

Answer 4

it has two terms and \(x\) is common in them so pull it out :
\[-5x+x^2 = x(-5+x)\]

Answer 5

Alight.

Answer 6

Please excuse my stupidity.... but is this the answer?

Answer 7

@ganeshie8

Answer 8

right, what about the excluded values ?

Answer 9

\[\dfrac{2x}{-5x+x^2} = \dfrac{2}{x(-5+x)} = \dfrac{2}{x-5},~~x\ne 0, 5\]

Answer 10

where x 5,0

Answer 11

Wow ! Thank you! =)

Answer 12

@ganeshie8