Simplify by removing factors of 1. (r^2-64)/(r+8)^2
not correct
do it this way ...
(r^2-64)/(r+8)^2
= (r+8)(r-8)/[(r+8)(r+8)]
= (r-8)/(r+8)
I cannot figure this out! I know that the top is essentially the same as the bottom. SO what do I do?
(r^2-64)/(r+8)^2=
(r^2-64)/(r^2+64)=
0 ?
Geez. Thank you so much.
To simplify the expression (r^2-64)/(r+8)^2 by removing factors of 1, we need to find any common factors between the numerator and denominator and eliminate them.
First, let's factor the numerator and denominator. The numerator, r^2 - 64, is a difference of squares, so we can rewrite it as (r+8)(r-8). The denominator, (r+8)^2, can be expanded as (r+8)(r+8).
So, (r^2-64)/(r+8)^2 becomes [(r+8)(r-8)]/[(r+8)(r+8)].
Now, we can see that there is a common factor of (r+8) in both the numerator and the denominator. By canceling this common factor, we simplify the expression.
[(r+8)(r-8)]/[(r+8)(r+8)] = (r-8)/(r+8).
Therefore, the expression (r^2-64)/(r+8)^2 simplifies to (r-8)/(r+8) by removing factors of 1.