simplify . state the non-permissible value

Question

1. 5b²-15b/10b-30

 

 

2. 2m+6/2m²-18

 

 

simplify and state the non-permissible value(s)

Answer 1

I assume (5b²-15b)/(10b-30)=(5b(b-3))/(10(b-3))=b/2

You cannot use b=3 in the original expression as 0/0 is indeterminate.

 

(2m+6)/(2m²-18)=(2(m+3))/2(m+3)(m-3)=2/m-3.

You cannot use m=3 or m=-3 in the original expression,

m=3 makes the denominator 0 and m=-3 makes the expression indeterminate.