Question

Subtract:

\[\frac{2}{3} y^3 - \frac{2}{7} y^2 - 5 \text { from  }\frac{1}{3} y^3 + \frac{5}{7} y^2 + y - 2\]

Answer 1

\[\left( \frac{1}{3} y^3 + \frac{5}{7} y^2 + y - 2 \right) - \left( \frac{2}{3} y^3 - \frac{2}{7} y^2 - 5 \right)\]

\[ = \frac{1}{3} y^3 + \frac{5}{7} y^2 + y - 2 - \frac{2}{3} y^3 + \frac{2}{7} y^2 + 5\]

\[ = \frac{1}{3} y^3 - \frac{2}{3} y^3 + \frac{5}{7} y^2 + \frac{2}{7} y^2 + y - 2 + 5 (\text { Collecting like terms })\]

\[ = - \frac{1}{3} y^3 + y^2 + y + 3 (\text { Combining like terms })\]