SOLUTION: How do you go about the process of multiplying polynomials by monomials for example. 2(n-3)+n(2-n)=2-nsquared

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Question 2304: How do you go about the process of multiplying polynomials by monomials for example.
2(n-3)+n(2-n)=2-nsquared

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
the term outside the bracket is multiplied by everything inside the bracket, so...
2(n-3) becomes 2n-6
n(2-n) becomes 2n-n%5E2
so combined we get
2n-6 + 2n-n%5E2 = 2 - n%5E2
Bring everything onto one side, to give
2n-6+%2B+2n-n%5E2+-+2+%2B+n%5E2+=+0
Now collect like terms...
4n-8+=+0
so, 4n = 8
n=2

jon