Subtract the polynomials.

Question

​(5r5+10r2−4​)−​(9r5−8r2+17​)

Answer 1

(5r^5 + 10r^2 - 4) - (9r^5 - 8r^2 + 17)

First, distribute the negative sign to each term inside the second set of parentheses:

= 5r^5 + 10r^2 - 4 - 9r^5 + 8r^2 - 17

Then, combine like terms:

= (5r^5 - 9r^5) + (10r^2 + 8r^2) + (-4 - 17)

= -4r^5 + 18r^2 - 21