Simplify each expression. State all non-permissible values
3 / 2š„ + 5 / 6š„^2
To simplify the expression, we will find a common denominator and add the fractions.
The denominators are 2š„ and 6š„^2. The common denominator is 6š„^2.
To find the numerator for the first fraction, we multiply by 3 to both the numerator and denominator:
(3 / 2š„)(3/3) = 9 / 6š„
The expression now becomes:
9 / 6š„ + 5 / 6š„^2
Since the denominators are the same, we can combine the fractions:
(9 + 5) / 6š„^2 = 14 / 6š„^2
Now, we can simplify the expression further:
14 / 6š„^2 = 7 / 3š„^2
The non-permissible values for this expression would be any value of š„ that makes the denominator equal to zero. In this case, the expression has a denominator of 3š„^2, so the non-permissible values are when š„ equals zero or when š„ equals any value that makes š„^2 equal to zero. Thus, the non-permissible values are š„ = 0.