To simplify the first rational expression, we first factor the denominator of the first expression and try to simplify it:
x^2 - 8x + 16 = (x - 4)^2
Now, the expression becomes:
(x - 1) / (x - 4)^2
To simplify the second rational expression, we first factor the denominator of the second expression and try to simplify it:
16 - x^2 = (4 + x)(4 - x)
(x + 2) / (4 + x)(4 - x)
So, the simplified rational expressions are:
(x - 1) / (x - 4)^2 and (x + 2) / (4 + x)(4 - x)
To simplify the first rational expression, we first factor the denominator of the first expression and try to simplify it:
x^2 - 8x + 16 = (x - 4)^2
Now, the expression becomes:
(x - 1) / (x - 4)^2
To simplify the second rational expression, we first factor the denominator of the second expression and try to simplify it:
16 - x^2 = (4 + x)(4 - x)
Now, the expression becomes:
(x + 2) / (4 + x)(4 - x)
So, the simplified rational expressions are:
(x - 1) / (x - 4)^2 and (x + 2) / (4 + x)(4 - x)