Posted by **dirtrider** on Wednesday, January 23, 2013 at 9:01pm.

What is the quotient in simpliest form? State any restrictions on the variable.

x+2/x-1 divided by x+4/x^2+4x-5.

My answer (x+2)(x+5)/x+4; don't get the restriction part either -5,-4 or 1,-4,-5

Can someone please help?

- algebra -
**Reiny**, Wednesday, January 23, 2013 at 10:01pm
For typing of this kind of question in this format, brackets are of critical importance

I will assume you meant:

(x+2)/(x-1) ÷ ( (x+4)/(x^2 + 4x - 5) )

then..

= (x+2)/(x-1) * (x^2 + 4x - 5)/(x+4)

= (x+2)/(x-1) (x+5)(x-1)/(x+4)

= (x+2)(x+5)/(x+4) , x ≠ 1, -5,-4

In the original divisor of (x+4)/((x-1)(x+5)

is x = 1 or -5, that expression would be undefined, so we restrict those values

similarly looking at the final answer, we are dividing by x+4.

If x = -4 , we could be dividing by zero, a no-no

So we have restrictions of 1, -5, -4

your answer is correct, other than the above restrictions.

- algebra -
**da sand nega**, Sunday, May 8, 2016 at 10:01pm
mlg

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