Question

add. \\(\left(\frac{3}{5}m^2 - \frac{1}{5}m + \frac{4}{5}\
ight) + \left(-\frac{1}{5}m^2 - \frac{3}{10}m + \frac{1}{10}\
ight)\\) \\(\left(\frac{3}{5}m^2 - \frac{1}{5}m + \frac{4}{5}\
ight) + \left(-\frac{1}{5}m^2 - \frac{3}{10}m + \frac{1}{10}\
ight) = \square\\) (use integers or fractions for any numbers in the expression.)

Explanation:

Step1: Combine like terms for \( m^2 \)

\(\frac{3}{5}m^2 + (-\frac{1}{5}m^2) = (\frac{3}{5} - \frac{1}{5})m^2 = \frac{2}{5}m^2\)

Step2: Combine like terms for \( m \)

\(-\frac{1}{5}m + (-\frac{3}{10}m) = (-\frac{2}{10}m - \frac{3}{10}m) = -\frac{5}{10}m = -\frac{1}{2}m\)

Step3: Combine like terms for constants

\(\frac{4}{5} + \frac{1}{10} = \frac{8}{10} + \frac{1}{10} = \frac{9}{10}\)

Step4: Combine all results

Putting it all together: \(\frac{2}{5}m^2 - \frac{1}{2}m + \frac{9}{10}\)

Answer:

\(\frac{2}{5}m^2 - \frac{1}{2}m + \frac{9}{10}\)