Subtract the polynomials and simplify. $$\left( - \frac { 2 } { 5 } p ^ { 2 } - \frac { 1 } { 15 } p q + \frac { 4 } { 15 } q ^ { 2 } - 8 \right) - \left( \frac { 14 } { 15 } p ^ { 2 } + \frac { 2 } { 15 } p q + \frac { 1 } { 5 } q ^ { 2 } + 14 \right)$$
A) $- \frac { 4 } { 3 } p ^ { 2 } - \frac { 1 } { 5 } p q + \frac { 1 } { 15 } q ^ { 2 } - 22$
B) $- \frac { 4 } { 3 } p ^ { 2 } + \frac { 1 } { 15 } p q + \frac { 7 } { 15 } q ^ { 2 } + 6$
C) $- \frac { 4 } { 3 } p ^ { 2 } - \frac { 1 } { 5 } p q + \frac { 1 } { 15 } q ^ { 2 } + 6$
D) $\frac { 8 } { 15 } p ^ { 2 } + \frac { 1 } { 15 } p q + \frac { 7 } { 15 } q ^ { 2 } + 6$

Question

Quizplus · Accepted Answer

Subtracting the polynomials involves combining like terms and subtracting the second polynomial from the first. For $p^2$ terms: $-\frac{2}{5} - \frac{14}{15} = -\frac{4}{3}$. For $pq$ terms: $-\frac{1}{15} - \frac{2}{15} = -\frac{1}{5}$. For $q^2$ terms: $\frac{4}{15} - \frac{1}{5} = \frac{1}{15}$. For the constant terms: $-8 - 14 = -22$.

Subtract the Polynomials and Simplify A) −43p2−15pq+115q2−22- \frac { 4 } { 3 } p ^ { 2 } - \frac { 1 } { 5 } p q + \frac { 1 } { 15 } q ^ { 2 } - 22−34​p2−51​pq+151​q2−22

Subtract the Polynomials and Simplify A) $- \frac { 4 } { 3 } p ^ { 2 } - \frac { 1 } { 5 } p q + \frac { 1 } { 15 } q ^ { 2 } - 22$