Simplify the rational expression x^2-4/x^2+5x+6. state any restrictions on the variable.

The correct answer is option B.

Step-by-step explanation:

The given rational expression is:

Factor the numerator and the denominator:

Factor the numerator using difference of two squares and the denominator using factorization by grouping.

This function is defined if and only if the denominator is not zero.

That is: (x+3)(x+2)≠0.

x≠-2,x≠-3

We simplify now to obtain:

The correct choice is the second option.

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3