Subtract(5a^3+3 b^3)-(2a^2b-4ab^2+3b^3+5a^3)=
since there's a 5a^3 + 3b^3 top and bottom, they just disappear, and you are left with
-(2a^2b-4ab^2)
To subtract the expression (5a^3+3b^3)-(2a^2b-4ab^2+3b^3+5a^3), we need to perform the subtraction operation between each corresponding term.
Step 1: Distribute the negative sign on the second expression in the parentheses:
-(2a^2b-4ab^2+3b^3+5a^3)
Step 2: Perform the subtraction of each corresponding term:
(5a^3+3b^3) - (2a^2b) - (-4ab^2) - (3b^3) - (5a^3)
Step 3: Combine like terms:
5a^3 - 5a^3 + 3b^3 - 3b^3 - 2a^2b + 4ab^2
Step 4: Simplify the expression:
0 - 0 + 3b^3 - 2a^2b + 4ab^2
The final result of the expression (5a^3+3b^3) - (2a^2b-4ab^2+3b^3+5a^3) is 3b^3 - 2a^2b + 4ab^2.