Find the sum of 8, x, squared, minus, x, plus, 98x

Question

2
−x+9 and 8, x, squared, minus, 5, x, plus, 58x
2
−5x+5.

Solve the problem just like the example below
⬇️
Perform the operation.
left parenthesis, x, plus, 9, right parenthesis, plus, left parenthesis, 3, x, squared, plus, 4, x, minus, 2, right parenthesis

(x+9)+(3x
2
+4x−2)
x, plus, 9, plus, 3, x, squared, plus, 4, x, minus, 2
x+9+3x
2
+4x−2

Combine like terms: 3, x, squared, plus, 5, x, plus, 7
3x
2
+5x+7

Answer 1

To find the sum of \(8x^2 - x + 98\) and \(8x^2 - 5x + 5\), we'll follow the same format as the example you provided.

Perform the operation:

\[ (8x^2 - x + 98) + (8x^2 - 5x + 5) \]

Now, let's write down the expression clearly:

\[ 8x^2 - x + 98 + 8x^2 - 5x + 5 \]

Combine like terms:

1. Combine the \(x^2\) terms:

   • \(8x^2 + 8x^2 = 16x^2\)

2. Combine the \(x\) terms:

   • \(-x - 5x = -6x\)

3. Combine the constant terms:

   • \(98 + 5 = 103\)

Putting it all together, we get:

\[ 16x^2 - 6x + 103 \]

So the final result is:

\[ 16x^2 - 6x + 103 \]