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MAXImum [283]
3 years ago
11

The sum of two polynomials is 8d^5-3c^3d^2+5c^2d^3-4CD^4+9. If one added is 2d^5-c^3d^4+8CD^4+1, what is the other added

Mathematics
1 answer:
insens350 [35]3 years ago
8 0

Answer:

6d^5 - 3c^3d^2 + 5c^2d^3 + c^3d^4 - 12cd^4 + 8

Step-by-step explanation:

We need to subtract the given polynomial from the sum:-

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

We need to distribute the negative over the parentheses:-

= 8d^5 - 3c^3d^2 + 5c^2d^3 - 4cd^4 + 9 - 2d^5 + c^3d^4 - 8cd^4 -1

Bringing like terms together:

= 8d^5 - 2d^5 - 3c^3d^2 + 5c^2d^3  + c^3d^4 - 4cd^4 - 8cd^4 + 9  

- 1

Simplifying like terms

=  6d^5 - 3c^3d^2 + 5c^2d^3 + c^3d^4 - 12cd^4 + 8  


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