Can I get help finding the difference. Please show steps for me.

(2x^2 -5x^3)-(8x^2 -7x^3)

I get -6x^2-12x^3 is that correct?

( 2 x ^ 2 - 5 x ^ 3 ) - ( 8 x ^ 2 - 7 x ^ 3 ) =

2 x ^ 2 - 5 x ^ 3 - 8 x ^ 2 + 7 x ^ 3 =

- 6 x ^ 2 + 2 x ^ 3 =

2 x ^ 3 - 6 x ^ 2 =

2 x ^ 2 ( x - 3 )