Algebraic Power Sums

Vocabulary-style flashcards defining the set of algebraic equations and the target expression provided in the lecture notes.

$$a + b + c = 4$$

The linear equation establishing the sum of the variables $a$, $b$, and $c$ as $4$.

$$a^2 + b^2 + c^2 = 10$$

The quadratic equation establishing the sum of the squares of the variables as $10$.

$$a^3 + b^3 + c^3 = 22$$

The cubic equation establishing the sum of the cubes of the variables as $22$.

$$a^2 + b + c\,4 =?$$

The final target expression from the lecture notes to be solved.