What is 6b3 - 8b2 - 10b + 7 subtracted from 4b4 + 12b3 + 5b2 + 6?

4b^4 + 6b^3 + 13b^2 + 10b - 1

Step-by-step explanation:

4b^4 + 12b^3 + 5b^2 + 6 - (6b^3 - 8b^2 - 10b + 7)

= 4b^4 + 12b^3 + 5b^2 + 6 - 6b^3 + 8b^2 + 10b - 7

= 4b^4 + (12b^3 - 6b^3) + (5b^2 + 8b^2) + 10b + (6 - 7)

= 4b^4 + 6b^3 + 13b^2 + 10b - 1