Exploration of algebraic patterns and expansions including squares of binomials and difference of two squares.
What students will learn
- By the end of the lesson, students should be able to:
- Expand the square of a sum of two terms using the algebraic identity (a + b)² = a² + 2ab + b².
- Expand the square of a difference of two terms using the algebraic identity (a - b)² = a² - 2ab + b².
- Expand and simplify expressions involving the difference of two squares: (a + b)(a - b) = a² - b².
- Apply special product identities to evaluate arithmetic squares and differences without long multiplication.
Sample quiz questions
Expand the expression (x + 3)².
- A. x² + 6x + 9
- B. x² + 9
- C. x² + 3x + 9
- D. x² + 6x + 6
Which of the following is equivalent to (y - 5)²?
- A. y² - 25
- B. y² - 10y - 25
- C. y² - 10y + 25
- D. y² + 10y + 25
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