SOLUTION: I am having difficulty understanding the concept of expanding an equation. Specifically, expanding: (x+(1/8))^2 I know the answer is: x^2+(x/4)+(1/64) However I do not know how

Algebra ->  Rational-functions -> SOLUTION: I am having difficulty understanding the concept of expanding an equation. Specifically, expanding: (x+(1/8))^2 I know the answer is: x^2+(x/4)+(1/64) However I do not know how       Log On


   



Question 289568: I am having difficulty understanding the concept of expanding an equation.
Specifically, expanding: (x+(1/8))^2
I know the answer is: x^2+(x/4)+(1/64)
However I do not know how to arrive at this answer, and would like to get this concept down.
Please help?
Thanks

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
(x+(1/8))^2=(x+(1/8))*(x+(1/8))
We use FOIL
that's four operations
first terms x*x=x^2
inner terms 1/8*x
outer terms x*1/8
last terms 1/8*1/8
x^2+(x/4)+(1/64)
the first and last are easy to see
the middle term x/4 is a sum of O and I operations
1/8*x+x*1/8=2/8*x=1/4*x