Question Subtract and simplify the polynomials: $\left(\frac{2}{7} p^{2}-\frac{1}{2} p q+\frac{3}{14} q^{2}+14\right)-\left(\frac{9}{14} p^{2}+\frac{4}{7} p q-\frac{5}{14} q^{2}+11\right)$.

Studdy Solution
Now, we can write down the final result by combining all the terms we calculated.
$$-\frac{5}{14} p^{} -\frac{15}{14} pq + \frac{8}{14} q^{} +3$$So, the subtraction of the given polynomials simplifies to $-\frac{5}{14} p^{} -\frac{15}{14} pq + \frac{8}{14} q^{} +3$.