Find the sum of 9, x, squared, plus, 69x 
2
 +6 and 2, x, squared, minus, x, minus, 102x 
2
 −x−10

It seems like you're asking to find the sum of two expressions:

1. \( 9x^2 + 69x + 6 \)
2. \( 2x^2 - x - 10 \)

To find the sum, we need to add the corresponding terms.

### Step 1: Add the \( x^2 \) terms
\[ 9x^2 + 2x^2 = 11x^2 \]

### Step 2: Add the \( x \) terms
\[ 69x - x = 68x \]

### Step 3: Add the constant terms
\[ 6 - 10 = -4 \]

### Final expression
Now, combining all the terms, we get:
\[ 11x^2 + 68x - 4 \]

So, the sum of the two expressions is:
\[
11x^2 + 68x - 4
\]

Would you like further details or have any questions?

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Here are 5 related questions:
1. How do you combine like terms in algebraic expressions?
2. What is the difference between a quadratic and linear term?
3. Can you solve the equation \( 11x^2 + 68x - 4 = 0 \)?
4. What happens if you subtract instead of add the two expressions?
5. How do you factor the expression \( 11x^2 + 68x - 4 \), if possible?

**Tip:** Always group similar terms (like \(x^2\), \(x\), and constants) when simplifying algebraic expressions to avoid mistakes!

Find the sum of 9x^2 + 69x + 6 and 2x^2 - x - 10

Learn how to add the quadratic expressions 9x^2 + 69x + 6 and 2x^2 - x - 10. This step-by-step solution covers polynomial addition, focusing on combining like terms and applying the commutative and associative properties of addition. Suitable for students in Grades 8-10.

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