Question

Can someone please help me with these two.

What is the quotient (6-x)/(x^2+2x-3)÷(x^2-4x-12)/(x^2+4x+3) in simplified form? State any restrictions on the variable.

Simplify the complex fraction
((x)/(x+2))/((1)/(x)+(1)/(x+2))

Answer 1

#1. The first fraction is

-(x-6)/(x-1)(x+3)

The other is

(x-6)(x+2)/(x+1)(x+3)

Dividing, you have

-(x-6)(x+1)(x+3) / (x-1)(x+3)(x-6)(x+2)
= -(x+1)/(x-1)(x+2)

x≠-3,-2,-1,1


#2.
x^2/(2(x+1))

Answer 2

What is the GCF of 18xy and 32xyz