Question

why does 2^n(n+1)+2^n(n-1) simplify to n2^(n+1)??? Please help :)

Answer 1

Is that \[2^{n(n+1)}+2^{n(n-1)} ?\]

Answer 2

sorry, \[2^{n}(n+1)+2^{n}(n-1)\]

Answer 3

\[2^n(n+1+n-1)= ?\]

Answer 4

the anwer would be\[ n2^{n+1}\] but I don't understand how... :P

Answer 5

what is n+1+n-1?

Answer 6

\[2^n(2n)=2^n \cdot 2 \cdot n =2^n \cdot 2^1 \cdot n\]
By law of exponents we can do something with the 2^n times 2^1

Answer 7

Ohhhh! I get it. the ones cancel out in 2^n(n+1+n−1) becoming 2n. Thank you very much!!!

Answer 8

woah, so many ?

Answer 9

reload

Answer 10

they go away after reloading lol

Answer 11

Ah thank you very much!

Answer 12

np