6. \( \frac{10}{a}+\frac{12}{a^{2}} \)

Let’s dive into simplifying the expression! First, we can write the expression as a single fraction. The common denominator here would be \( a^2 \). So, rewriting it gives us: \[ \frac{10}{a} + \frac{12}{a^2} = \frac{10a}{a^2} + \frac{12}{a^2} = \frac{10a + 12}{a^2} \] Now, we have successfully combined the two fractions! From here, if you want, you could factor the numerator further if there are common factors. For example, \( 10a + 12 = 2(5a + 6) \), resulting in: \[ \frac{2(5a + 6)}{a^2} \] That's a nice, tidy representation of the original expression!