Math Problem Statement

(−10x 2 +4)+(−9x−6)

Solution

Let's simplify the expression:

(10x2+4)+(9x6)(-10x^2 + 4) + (-9x - 6)

Step-by-step:

  1. Combine like terms.
    • There is no other x2x^2 term, so 10x2-10x^2 remains as it is.
    • There is no constant that combines with 9x-9x, so 9x-9x remains as it is.
    • Combine the constants: 4+(6)=24 + (-6) = -2.

So, the simplified expression is:

10x29x2-10x^2 - 9x - 2

Would you like more details or have any questions?

Here are 5 related questions to explore:

  1. How do you solve quadratic equations like 10x29x2=0-10x^2 - 9x - 2 = 0?
  2. How do you factor quadratic expressions?
  3. What is the quadratic formula and how is it used?
  4. How do you add and subtract polynomials?
  5. How do you graph a quadratic equation?

Tip: When simplifying expressions, always group like terms (terms with the same variable raised to the same power).

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomial Addition and Subtraction
Simplification

Formulas

Combining Like Terms: ax^2 + bx + c
Addition of Polynomials

Theorems

Associative Property of Addition
Commutative Property of Addition

Suitable Grade Level

Grades 8-10