Math Problem Statement

Select the expression that is equivalent to (x - 3)^2.

Solution

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The problem asks for the expression equivalent to (x3)2(x - 3)^2.

Step-by-step solution:

  1. Expand (x3)2(x - 3)^2 using the formula for the square of a binomial: (x3)2=x22(3)(x)+32(x - 3)^2 = x^2 - 2(3)(x) + 3^2

  2. Simplify the terms: (x3)2=x26x+9(x - 3)^2 = x^2 - 6x + 9

Final Answer:

The expression equivalent to (x3)2(x - 3)^2 is: B.x26x+9\boxed{B. \, x^2 - 6x + 9}

Would you like further clarification or help with another question?


Related Questions:

  1. How do you expand (x+y)2(x + y)^2 using the binomial formula?
  2. What is the result of (x+3)(x3)(x + 3)(x - 3)?
  3. What are the steps to factorize x26x+9x^2 - 6x + 9?
  4. How is the formula (ab)2=a22ab+b2(a - b)^2 = a^2 - 2ab + b^2 derived?
  5. Can (x3)2(x - 3)^2 be rewritten in vertex form? If so, how?

Tip:

Always double-check your work when expanding binomials by recombining terms to verify the result.

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Math Problem Analysis

Mathematical Concepts

Algebra
Binomial Expansion
Quadratic Expressions

Formulas

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

Theorems

Binomial Theorem

Suitable Grade Level

Grades 8-10