Find the sum of 6, x, squared, minus, 36x 
2
 −3 and 8, x, squared, minus, 5, x, minus, 18x 
2
 −5x−1.

To solve this, we are adding two algebraic expressions:

1. \( 6x^2 - 36x - 3 \)
2. \( 8x^2 - 5x - 1 \)

Now, let's add the like terms:

- For the \( x^2 \)-terms:  
  \( 6x^2 + 8x^2 = 14x^2 \)

- For the \( x \)-terms:  
  \( -36x - 5x = -41x \)

- For the constant terms:  
  \( -3 - 1 = -4 \)

So, the sum of the two expressions is:

\[
14x^2 - 41x - 4
\]

Would you like more details or further explanation on any step?

Here are 5 questions related to this:

1. How do you combine like terms in algebraic expressions?
2. What is the difference between coefficients and constants in polynomials?
3. How do you factor quadratic expressions like \( 14x^2 - 41x - 4 \)?
4. Can quadratic equations always be simplified further?
5. What is the general form of a quadratic expression?

**Tip:** Always align like terms when adding or subtracting polynomials to simplify your work!

Find the sum of 6x^2 - 36x - 3 and 8x^2 - 5x - 1.

Learn how to add two polynomials: 6x^2 - 36x - 3 and 8x^2 - 5x - 1. This detailed step-by-step solution covers key algebraic concepts such as combining like terms in polynomials. Suitable for students in Grades 8-10.

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