Question

prove that

(2^(2n)+2(^n+1)+1)^(1/2)-(2^(2n)-2(^n+1)+1)^(1/2)=2
plz help :)

Answer 1

can you expand \((2^n+1)^2=...?\)
\using the formula \((a+b)^2=a^2+2ab+b^2\)

Answer 2

yes thanx a lot

Answer 3

so, could you prove that ?

Answer 4

you'll need ,\((2^n-1)^2=...?\)
also, then just subtract those 2 results...