Example 2
Completion requirements
| Example 2 |
Simplify the expression \(\frac{{4x^2 }}{{3x}} + \frac{5}{{3x}}\). Identify any non-permissible values.
The denominators are already factored, so \(x \ne 0\).
Because the denominators are the same, there is no need to determine the LCD. The next step is to add the numerators, and simplify, if possible.
Because the denominators are the same, there is no need to determine the LCD. The next step is to add the numerators, and simplify, if possible.
\[\frac{{4x^2 }}{{3x}} + \frac{5}{{3x}} = \frac{{4x^2 + 5}}{{3x}}, \thinspace x \ne 0\]