Math Problem Statement

(x−3)(x+9)

Solution

The expression (x3)(x+9)(x - 3)(x + 9) can be expanded using the distributive property (also known as FOIL method for binomials):

(x3)(x+9)=x(x+9)3(x+9)(x - 3)(x + 9) = x(x + 9) - 3(x + 9)

Expanding each term:

=x2+9x3x27= x^2 + 9x - 3x - 27

Now, combine like terms:

x2+6x27x^2 + 6x - 27

So, the expanded form of the expression is x2+6x27x^2 + 6x - 27.

Would you like more details or have any questions?

Here are 8 related questions:

  1. How would you factor the expression x2+6x27x^2 + 6x - 27?
  2. What is the vertex of the quadratic function y=x2+6x27y = x^2 + 6x - 27?
  3. How do you solve the equation (x3)(x+9)=0(x - 3)(x + 9) = 0?
  4. Can the expression x2+6x27x^2 + 6x - 27 be factored using integers?
  5. What is the axis of symmetry for the function y=x2+6x27y = x^2 + 6x - 27?
  6. How would you complete the square for the expression x2+6x27x^2 + 6x - 27?
  7. What are the roots of the equation x2+6x27=0x^2 + 6x - 27 = 0?
  8. How does the sign of the constant term affect the graph of y=x2+6x27y = x^2 + 6x - 27?

Tip: When expanding binomials, the distributive property is a powerful tool to break down the multiplication into simpler steps.

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Math Problem Analysis

Mathematical Concepts

Algebra
Binomial Expansion

Formulas

Distributive Property (FOIL method)

Theorems

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Suitable Grade Level

Grades 9-12