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Find the sum of 8, x, squared, plus, 38x
2
+3 and minus, 4, x, squared, minus, 8, x, plus, 4−4x
2
−8x+4

Answer 1

To find the sum of the two expressions \( 8x^2 + 38x + 3 \) and \( -4x^2 - 8x + 4 \), we will combine like terms.

1. Start by writing down the expressions:

\[
8x^2 + 38x + 3
\]
\[
-4x^2 - 8x + 4
\]

2. Combine the like terms:

- For \( x^2 \) terms:
\[
8x^2 - 4x^2 = 4x^2
\]
- For \( x \) terms:
\[
38x - 8x = 30x
\]
- For the constant terms:
\[
3 + 4 = 7
\]

3. Now, putting it all together, we have:

\[
4x^2 + 30x + 7
\]

So, the sum of the two expressions is:

\[
\boxed{4x^2 + 30x + 7}
\]