Divide 4a2+4ab−2 by 2a . What is the quotient?(1 point) Responses 2a+2b 2 a plus 2 b 2a+2b−1 2 a plus 2 b minus 1 2b−1a 2 b minus Start Fraction 1 over a End Fraction 2a+2b−1a

To divide the expression \( 4a^2 + 4ab - 2 \) by \( 2a \), we can break it down step-by-step.

1. Write the division:
\[
\frac{4a^2 + 4ab - 2}{2a}
\]

2. Divide each term in the numerator by \( 2a \):
- The first term:
\[
\frac{4a^2}{2a} = 2a
\]
- The second term:
\[
\frac{4ab}{2a} = 2b
\]
- The third term:
\[
\frac{-2}{2a} = -\frac{1}{a}
\]

3. Combining these results together, we get:
\[
2a + 2b - \frac{1}{a}
\]

So, the quotient is:
\[
\boxed{2a + 2b - \frac{1}{a}}
\]