Question

Simplify. Simplify. Simplify​

Answer 1

A is the answer

Explanation:

Answer 2

Explanation:

Lots of factoring here. Let's rewrite everything in its simplest, factored form:

`(((x-1)(x+3))/((x-4)) )/(((2x-1)(x+3))/((x+4)(x-4)) )`

The term (x - 4) cancels out completely, leaving us with

`((x-1)(x+3))/(((2x-1)(x+3))/((x+4)) )`

Let's get rid of that (x + 4) by multiplying both top and bottom by (x + 4) to get

`((x-1)(x+3)(x+4))/((2x-1)(x+3))`

It's obvious now that the (x + 3) term cancels out, leaving us with

`((x-1)(x+4))/((2x-1))`

Now all that's left to do is to FOIL out the numerator:

`(x^2+3x-4)/(2x-1)`

The first choice is the one you want