Final answer:
To simplify the expression, we find a common denominator and simplify the fractions. The result is (25x+100)² + (16y-16)² = 400.
Step-by-step explanation:
To simplify the given expression, we first need to simplify the denominators of both fractions. We can rewrite the fractions as (x+4)2/16 + (y-1)2/25 = 1.
Next, we can find a common denominator for the fractions, which in this case is 400. Multiplying both the numerators and denominators of the fractions by the appropriate value will give us (25(x+4))2 + (16(y-1))2 = 400.
Simplifying further, we have (25x+100)2 + (16y-16)2 = 400, which is a simplified form of the original expression.