Math Problem Statement

9 - y^2

Solution

The expression shown in the image is 9y29 - y^2.

This is a difference of squares, which can be factored as:

9y2=(3+y)(3y)9 - y^2 = (3 + y)(3 - y)

Would you like further details on factoring, or do you have additional questions about this expression?

Here are some related questions:

  1. How would you factor a general difference of squares, like a2b2a^2 - b^2?
  2. Can you apply this factoring technique to more complex polynomials?
  3. What happens if the expression is not a difference of squares, but a sum of squares?
  4. How would you solve 9y2=09 - y^2 = 0 for yy?
  5. How is factoring useful when solving quadratic equations?

Tip: Recognizing patterns like the difference of squares can make factoring and solving equations much faster!

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Math Problem Analysis

Mathematical Concepts

Algebra
Factoring
Difference of Squares

Formulas

a^2 - b^2 = (a + b)(a - b)

Theorems

Difference of Squares Theorem

Suitable Grade Level

Grades 8-10