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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:

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