Question

How do you simplify `(2x+4 )/( x^2+11x+18) div( x+1) /( x^2+14x+45)`?

Answer 1

The simplified version of that expression is `2(x+5)/(x+1)`

Explanation:

I factorized and changed the division into a product (inverting the second fraction) to get:
`(2(x+2))/((x+2)(x+9))xx((x+5)(x+9))/(x+1)=`
`=(2cancel((x+2)))/(cancel((x+2))cancel((x+9)))xx((x+5)cancel((x+9)))/(x+1)=`
`=2(x+5)/(x+1)`