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
2 a plus 2 b minus Start Fraction 1 over a End Fraction

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To divide the expression \( 4a^2 + 4ab - 2 \) by \( 2a \), we can do the division term by term:

1. Divide \( 4a^2 \) by \( 2a \):
\[
\frac{4a^2}{2a} = 2a
\]

2. Divide \( 4ab \) by \( 2a \):
\[
\frac{4ab}{2a} = 2b
\]

3. Divide \( -2 \) by \( 2a \):
\[
\frac{-2}{2a} = -\frac{1}{a}
\]

Now, combine the results from the three divisions:
\[
2a + 2b - \frac{1}{a}
\]

Thus, the quotient of \( \frac{4a^2 + 4ab - 2}{2a} \) is:
\[
\boxed{2a + 2b - \frac{1}{a}}
\]

So the correct response is:
**2a + 2b − 1/.