Math Problem Statement
Find the sum of 6, x, squared, minus, 36x 2 −3 and 8, x, squared, minus, 5, x, minus, 18x 2 −5x−1.
Solution
To solve this, we are adding two algebraic expressions:
Now, let's add the like terms:
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For the -terms:
-
For the -terms:
-
For the constant terms:
So, the sum of the two expressions is:
Would you like more details or further explanation on any step?
Here are 5 questions related to this:
- How do you combine like terms in algebraic expressions?
- What is the difference between coefficients and constants in polynomials?
- How do you factor quadratic expressions like ?
- Can quadratic equations always be simplified further?
- What is the general form of a quadratic expression?
Tip: Always align like terms when adding or subtracting polynomials to simplify your work!
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomials
Like Terms
Formulas
Adding like terms: ax^n + bx^n = (a+b)x^n
Theorems
Polynomial Addition
Suitable Grade Level
Grades 8-10