To simplify this expression, we first factor the numerator:
4n² + 7n - 2 = (4n - 1)(n + 2)
Now, we divide the numerator by the denominator:
[(4n - 1)(n + 2)] / (1 - 16n²)
We can further factor the denominator as a different of squares:
(1 - 16n²) = (1 - 4n)(1 + 4n)
Now, we rewrite the division expression:
[(4n - 1)(n + 2)] / [(1 - 4n)(1 + 4n)]
Next, we simplify and cancel out common factors from the numerator and denominator:
= (4n - 1) / (1 + 4n)
Therefore, the simplified expression is:
(4n - 1) / (1 + 4n)
To simplify this expression, we first factor the numerator:
4n² + 7n - 2 = (4n - 1)(n + 2)
Now, we divide the numerator by the denominator:
[(4n - 1)(n + 2)] / (1 - 16n²)
We can further factor the denominator as a different of squares:
(1 - 16n²) = (1 - 4n)(1 + 4n)
Now, we rewrite the division expression:
[(4n - 1)(n + 2)] / [(1 - 4n)(1 + 4n)]
Next, we simplify and cancel out common factors from the numerator and denominator:
= (4n - 1) / (1 + 4n)
Therefore, the simplified expression is:
(4n - 1) / (1 + 4n)