4) \( \frac{m^{6}-m^{6}}{m^{3}+m^{6}} \)

Hey there, math enthusiast! It looks like you've got a fraction involving \( m^6 \). The numerator simplifies to \( m^6 - m^6 \), which equals 0. When you substitute this into the fraction, you're left with \( \frac{0}{m^{3}+m^{6}} \). Since the denominator is not zero (as long as \( m \) is not equal to 0), the entire expression equals 0. Simplifying fractions can be like a magic trick, where you sometimes find the simplest answer is just zero! Now, remember that when you're dealing with algebraic expressions, always check for common factors or the possibility of straightforward cancellations. It's easy to overlook these, especially when numbers get big or complex. Practice makes perfect!