Perform the indicated operations.
-$$\left( - \frac { 4 } { 5 } x ^ { 2 } + \frac { 3 } { 5 } x + \frac { 1 } { 4 } \right) + \left( \frac { 1 } { 2 } x ^ { 2 } + \frac { 1 } { 3 } x - \frac { 2 } { 5 } \right)$$
A) $- \frac { 3 } { 10 } x ^ { 4 } + \frac { 14 } { 15 } x ^ { 2 } - \frac { 3 } { 20 }$
B) $- \frac { 3 } { 10 } x ^ { 2 } + \frac { 14 } { 15 } x - \frac { 3 } { 20 }$
C) $\frac { 19 } { 30 } x ^ { 6 } - \frac { 3 } { 20 }$
D) $- 4 x ^ { 2 } + 2 x - 1$

Question

Quizplus · Accepted Answer

To solve, add the like terms: $-\frac{4}{5}x^2 + \frac{1}{2}x^2$ for $x^2$ terms, $\frac{3}{5}x + \frac{1}{3}x$ for $x$ terms, and $\frac{1}{4} - \frac{2}{5}$ for constant terms. Simplifying these gives $-\frac{3}{10}x^2 + \frac{14}{15}x - \frac{3}{20}$.

Perform the Indicated Operations A) −310x4+1415x2−320- \frac { 3 } { 10 } x ^ { 4 } + \frac { 14 } { 15 } x ^ { 2 } - \frac { 3 } { 20 }−103​x4+1514​x2−203​

Perform the Indicated Operations A) $- \frac { 3 } { 10 } x ^ { 4 } + \frac { 14 } { 15 } x ^ { 2 } - \frac { 3 } { 20 }$