Question

Generate an expression equivalent to: 4 (h + 2) + 2 (h+ 1). The answer should be in simplest form.

Answer 1

To simplify the expression \(4(h + 2) + 2(h + 1)\), we can start by distributing the coefficients into the parentheses.

1. Distribute \(4\) into \((h + 2)\):

\[
4(h + 2) = 4h + 8
\]

2. Distribute \(2\) into \((h + 1)\):

\[
2(h + 1) = 2h + 2
\]

Now, we can combine both results:

\[
4h + 8 + 2h + 2
\]

Next, combine like terms:

- Combine \(4h\) and \(2h\):

\[
4h + 2h = 6h
\]

- Combine constants \(8\) and \(2\):

\[
8 + 2 = 10
\]

Putting it all together, we get:

\[
6h + 10
\]

Thus, the expression \(4(h + 2) + 2(h + 1)\) in simplest form is:

\[
\boxed{6h + 10}
\]