Simplify each expression. State all non-permissible values.
3 / 2š„ + 5 / 6š„^2
To simplify the expression, we need to find a common denominator for the fractions. The least common multiple of 2x and 6x^2 is 6x^2.
For the first fraction, we multiply the numerator and denominator by 3x to get:
(3/2x) * (3x/3x) = 9x / 6x^2
For the second fraction, we multiply the numerator and denominator by x to get:
(5/6x^2) * (x/x) = 5x / 6x^2
Combining the simplified fractions, we get:
(9x + 5x) / 6x^2
Simplifying further, we have:
14x / 6x^2
Now, we need to state the non-permissible values. Non-permissible values are values of x that would make the expression undefined. In this case, the expression would be undefined if the denominator is equal to zero.
Therefore, the non-permissible values are x = 0 and x = 0/3 (which is also 0).
So, the simplified expression is 14x / 6x^2 and the non-permissible values are x = 0 and x = 0/3.