(4a^3 - 7a^2) - (8a^3 + 1a^2) Subtract

= 4a^3 - 7a^2-8a^3 - 1a^3
= 4a^3 - 8a^3 - 7a^2 - 1a^2
= (4-8)a^3 - (-7 - 1)a^2
= -4a^3 - 8a^2

Is this correct?

Except for the typo in the second line, it looks correct.