Math Problem Statement

Perform the operation. left parenthesis, minus, x, squared, minus, 5, x, right parenthesis, minus, left parenthesis, minus, 6, x, squared, plus, 5, x, plus, 6, right parenthesis (−x 2 −5x)−(−6x 2 +5x+6)

Solution

The simplified form of the expression:

(x25x)(6x2+5x+6)(-x^2 - 5x) - (-6x^2 + 5x + 6)

is:

5x210x65x^2 - 10x - 6

Would you like further details or have any questions?

Here are five related questions you might find useful:

  1. How do you expand algebraic expressions involving multiple parentheses?
  2. How do you combine like terms in a polynomial?
  3. What are the steps to factor a quadratic expression like 5x210x65x^2 - 10x - 6?
  4. How do you solve quadratic equations using the quadratic formula?
  5. How do you graph quadratic functions?

Tip: Always distribute negative signs carefully when simplifying algebraic expressions.

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomials
Simplification

Formulas

ax^2 + bx + c = 0
Distributive Property
Combining Like Terms

Theorems

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Suitable Grade Level

Grades 8-10