Question

Write an equivalent expression with the fewest possible terms.
Write an equivalent expression without any remaining like terms.
10a+4+8b−4a+7b−6
=

Answer 1

To simplify the expression \(10a + 4 + 8b - 4a + 7b - 6\), we will first combine like terms.

1. **Combine the \(a\) terms**:
\[
10a - 4a = 6a
\]

2. **Combine the \(b\) terms**:
\[
8b + 7b = 15b
\]

3. **Combine the constant terms**:
\[
4 - 6 = -2
\]

Now, we can put all these together:

\[
6a + 15b - 2
\]

Thus, the equivalent expression with the fewest possible terms, without any remaining like terms, is:

\[
\boxed{6a + 15b - 2}
\]