Question
Find the sum of 8, x, squared, minus, x, plus, 98x
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
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
Answers
GPT-4o mini
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:
\[
16x^2 - 6x + 103
\]
**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:
\[
16x^2 - 6x + 103
\]