The sum of two polynomials is 8d^5 - 3c^3d2 +5c^2d^3 - 4cd^4 +9
2d^5 - c^3d^2 +8cd^4 +1 would be 6d^5 - 2c^3d^2+ 5c^2d^3 - 12cd^4 +8.
Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.
Given that
[tex]8d^5 - 3c^3d2 +5c^2d^3 - 4cd^4 +9\\[/tex]
Now
if one is added i.e.
[tex]2d^5 - c^3d^2 +8cd^4 +1,[/tex]
Now let us assume the other polynomial be x
So,
[tex]8d^5 - 3c^3d2 +5c^2d^3 - 4cd^4 +9\\[/tex] = x + [tex]2d^5 - c^3d^2 +8cd^4 +1,[/tex]
x = [tex]8d^5 - 3c^3d2 +5c^2d^3 - 4cd^4 +9\\[/tex] - ( [tex]2d^5 - c^3d^2 +8cd^4 +1,[/tex])
x = [tex]6d^5 - 2c^3d^2+ 5c^2d^3 - 12cd^4 +8[/tex]
Learn more about polynomials;
https://brainly.com/question/12982338