Question: Simplify the following expression.
(2x5^n)^2 + 25^n
this whole equation is divided by
5^n
Answer; 5^n+1
Remarks: I have tried doing this question twice but both attempts were unsuccesful. Please help.
it is only factorising. i was not interpreting your dot as a decimal.
in general:
4x + x = (4+1)x = 5x
You have
$\displaystyle 4 \times 5^{2n} + 1 \times 5^{2n}$ = $\displaystyle 5 \times 5^{2n}$
Which says: "4 lots of $\displaystyle 5^{2n}$ plus 1 lot of $\displaystyle 5^{2n}$" equals "5 lots of $\displaystyle 5^{2n}$"