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:

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