Math Problem Statement

(X-5)²

Solution

The expression (X5)2(X - 5)^2 can be expanded using the formula for the square of a binomial, (ab)2=a22ab+b2(a - b)^2 = a^2 - 2ab + b^2.

So:

(X5)2=X22(5)(X)+52(X - 5)^2 = X^2 - 2(5)(X) + 5^2 =X210X+25= X^2 - 10X + 25

Thus, (X5)2=X210X+25(X - 5)^2 = X^2 - 10X + 25.

Would you like more details or have any questions?

Here are some related questions to explore:

  1. What is (X+7)2(X + 7)^2 expanded?
  2. How does the square of a binomial relate to the distributive property?
  3. What happens if you have (2X3)2(2X - 3)^2?
  4. How do you expand (Xa)2(X - a)^2 for any constant aa?
  5. What is the geometric interpretation of (X5)2(X - 5)^2?

Tip: When squaring a binomial, remember to apply the distributive property or the binomial square formula.

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Math Problem Analysis

Mathematical Concepts

Algebra
Binomial Expansion
Quadratic Expressions

Formulas

(a - b)² = a² - 2ab + b²

Theorems

Binomial Square Theorem

Suitable Grade Level

Grades 7-9