Add the expressions.

Question

Expression 1: −3k+4k3−2

Expression 2: 9k2−3k3+4k−3

Answer 1

Expression 1 + Expression 2:

(-3k + 4k^3 - 2) + (9k^2 - 3k^3 + 4k - 3) = (-3k + 4k^3 - 2 + 9k^2 - 3k^3 + 4k - 3)

Combine like terms:

-3k + 4k^3 + 9k^2 - 3k^3 + 4k - 2 - 3

= 4k^3 - 3k^3 + 9k^2 - 3k + 4k - 3k - 2 - 3

= (4k^3 - 3k^3) + 9k^2 + (4k - 3k) + (-2 - 3)

Simplify:

k^3 + 9k^2 + k - 5