Math Problem Statement

(8x^2 - 4x - 3) + (-2x^2 - 3x + 9)

Solution

The problem presented is:

(8x24x3)+(2x23x+9)(8x^2 - 4x - 3) + (-2x^2 - 3x + 9)

We need to simplify this expression by combining like terms.

Step 1: Combine the x2x^2 terms.

8x2+(2x2)=6x28x^2 + (-2x^2) = 6x^2

Step 2: Combine the xx terms.

4x+(3x)=7x-4x + (-3x) = -7x

Step 3: Combine the constant terms.

3+9=6-3 + 9 = 6

Final Expression:

6x27x+66x^2 - 7x + 6

Therefore, the correct option is A: 6x27x+66x^2 - 7x + 6.

Would you like any more details, or have any questions?

Here are 5 related questions to further your understanding:

  1. How do you handle subtraction between polynomials?
  2. What is the difference between adding polynomials and multiplying polynomials?
  3. How do you factor the polynomial 6x27x+66x^2 - 7x + 6?
  4. Can you add polynomials with different numbers of terms?
  5. What are the rules for combining like terms?

Tip: Always align terms by their degree (e.g., x2x^2, xx, and constants) to simplify addition and subtraction of polynomials easily.

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomials
Combining Like Terms

Formulas

Combining like terms: ax^n + bx^n = (a+b)x^n

Theorems

Polynomial addition principles

Suitable Grade Level

Grades 8-10