<PRE><B>Question 629199</B>
(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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