Question

(a3 - 2a + 5) - (4a3 - 5a2 + a - 2)

Answer 1

\(\bf (a^3 - 2a + 5) - (4a^3 - 5a^2 + a - 2)\\ \quad \\
\textit{recall that } -\times -=+\quad and \quad +\times -=-\qquad thus\\ \quad \\
(a^3 - 2a + 5) - (4a^3 - 5a^2 + a - 2)\\ \quad \\
\implies a^3 - 2a + 5 - 4a^3 + 5a^2 - a + 2\\ \quad \\
\implies a^3 - 4a^3+ 5a^2- 2a - a + 2+ 5\)

Answer 2

add up like-terms

Answer 3

(a^3 - 2a + 5) - (4a^3 - 5a^2 + a - 2)
distribute the negative sign through the parenthesis
a^3 - 2a + 5 - 4a^3 + 5a^2 - a + 2
put your like terms together...
a^3 - 4a^3 = ?
5a^2 (there is no other like term with this one)
-2a - a = ?
5 + 2 = ?
once you get them together, then list them....what do you get ?