Question

Add.
(7d+9)+(3d2+5d+1)
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Answer 1

To add the expressions \((7d + 9)\) and \((3d^2 + 5d + 1)\), you can group the like terms together.

Here are the steps:

1. Write the expressions together:
\[
(7d + 9) + (3d^2 + 5d + 1)
\]

2. Remove the parentheses:
\[
7d + 9 + 3d^2 + 5d + 1
\]

3. Now, combine the like terms:
- The \(d^2\) term: \(3d^2\)
- The \(d\) terms: \(7d + 5d = 12d\)
- The constant terms: \(9 + 1 = 10\)

4. Combine everything:
\[
3d^2 + 12d + 10
\]

So, the result of adding \((7d + 9)\) and \((3d^2 + 5d + 1)\) is:
\[
3d^2 + 12d + 10
\]