SOLUTION: what is the answer of (2²+n+1)+(-3n²-2n+10)

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Question 629199: what is the answer of (2²+n+1)+(-3n²-2n+10)
Answer by lenny460(1073) About Me  (Show Source):
You can put this solution on YOUR website!
(2n^2 + n + 1)(-3n^2 - 2n + 10)

We multiply using the FOIL Method
2n^2 * -3n^2 = -6n^4
2n^2 * -2n = -4n^3
2n^2 * 10 = 20n^2
n * -3n^2 = -3n^3
n * -2n = -2n^2
n * 10 = 10n
1 * -3n^2 = -3n^2
1 * -2n = -2n
1 * 10 = 10

We now have:

-6n^4 - 4n^3 + 20n^2 - 3n^3 - 2n^2 + 10n - 3n^2 - 2n + 10

Combine like terms:

4n^3 - 3n^3 = -7n^3

20n^2 - 2n^2 - 3n^2 = 20n^2 - 5n^2 = 15n^2

10n - 2n = 8n

The Answer:

-6n^4 - 7n^3 + 15n^2 + 8n + 10


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