Question

Please and Thank you!
What is the simplified form of x-2/x^2+x-6 divided by x^2+5x+4/x+4 ?

Answer 1

\[\frac{x-2}{x^2+x-6}\times \frac{x+4}{x^2+5x+4}\] is a start i.e. multiply by the reciprocal
now factor and cancel as much as you can

Answer 2

\[\frac{x-2}{x^2+x-6}\times \frac{x+4}{x^2+5x+4}\]
\[=\frac{x-2}{(x+3)(x-2)}\times \frac{x+4}{(x+1)(x+4)}\] and then cancel away

Answer 3

Thank you :)

Answer 4

don't forget to leave a \(1\) in the numerator
yw

Answer 5

1/(x+3)(x+1)

Answer 6

yes, that works

Answer 7

unfortunately problems like this are very misleading
it says "multiply" or "divide" but it really means "factor and cancel" leading people to believe you can always cancel stuff, which is in fact rarely the case

Answer 8

I see.. urgh Algebra-_-