To simplify the expression, we will first expand the numerator:
(b+2)^2 = b^2 + 4b + (b-2)^2 = b^2 - 4b + 4
Now, multiply these two together:
(b^2 + 4b + 4)(b^2 - 4b + 4= b^4 - 4b^2 + 4b^2 - 16b^2 + 16b + 16b + 1= b^4 - 16b^2 + 32b + 16
Therefore, the expression simplifies to:
(b^4 - 16b^2 + 32b + 16) / 32= (b^4 - 16b^2 + 32b + 16) / (32b)
To simplify the expression, we will first expand the numerator:
(b+2)^2 = b^2 + 4b +
(b-2)^2 = b^2 - 4b + 4
Now, multiply these two together:
(b^2 + 4b + 4)(b^2 - 4b + 4
= b^4 - 4b^2 + 4b^2 - 16b^2 + 16b + 16b + 1
= b^4 - 16b^2 + 32b + 16
Therefore, the expression simplifies to:
(b^4 - 16b^2 + 32b + 16) / 32
= (b^4 - 16b^2 + 32b + 16) / (32b)