A. From algebra we learn:
b2
=
b
.
(b + 1)2 – 1 b + 2
B. Use the following rules:
1. The numerator is simply b.
2. The denominator is b + 2.
3. Reduce the fraction if need be.
Ex [1] 52 =
62 – 1 (fraction).
a) Since the b in this case is 5, the numerator is 5 and the denominator is 5 + 2 or 7.
b) The answer is 5/7.
Ex [2] 82 =
92 – 1 (fraction).
a) Since the b in this case is 8, the numerator is 8 and the denominator is 8 + 2 or 10.
b) The answer is 8/10. However, we must reduce this fraction to 4/5.
c) The final answer is 4/5.