Question

simplify ((x^(2n)+2x^n)/(x^(n+1)+2x) *((x^2-3x)/(x^(n+1)-3x^n))

Answer 1

how did they get the answer 1

http://www.wolframalpha.com/input/?i=simplify+%28%28x%5E%282n%29%2B2x%5En%29%2F%28x%5E%28n%2B1%29%2B2x%29+times%28%28x%5E2-3x%29%2F%28x%5E%28n%2B1%29-3x%5En%29%29

Answer 2

Try multiplying the numerators together, and then multiply the denominators together. If you compare them, I'll bet they look the same.

Answer 3

i guess my real question is how do you mulitply something like x^2n * x^(n+1) ?

Answer 4

As a general rule,\[x^a\cdot x^b=x^{a+b}\]So using your example,\[x^{2n}\cdot x^{n+1}=x^{2n+n+1}=x^{3n+1}\]

Answer 5

thank you!!

Answer 6

you're welcome