Question

The sum of two polynomials is 8d5 – 3c3d2 + 5c2d3 – 4cd4 + 9. If one addend is 2d5 – c3d2 + 8cd4 + 1, what is the other addend?

Answer 1

6d^5 – 2c^3d^2 + 5c^2d^3 – 12cd^4 + 8

Explanation:

To solve for the the other addend, subtract the given addend from the given sum of the two polynomials,

(8d^5 - 3c³d² + 5c²d³ - 4cd^4 +9) - (2d^5 - c³d² + 8cd^4 + 1)

Subtracting the terms from their like terms of the sum gives and answer of

Answer 2

To solve for the the other addend, subtract the given addend from the given sum of the two polynomials,
(8d^5 - 3c³d² + 5c²d³ - 4cd^4 +9) - (2d^5 - c³d² + 8cd^4 + 1)

Subtracting the terms from their like terms of the sum gives and answer of
6d^5 - 2c³d² + 5c²d³ - 12cd^4 +8