Understanding Binomial Squares and Difference of Squares

The quadrato di binomio formula (A + B)² = A² + B² + 2AB forms the foundation of polynomial expansion. This page explores key algebraic concepts and their practical applications.

Definition: The square of a binomial is equal to the square of the first term, plus the square of the second term, plus twice the product of the first and second terms.

Example: For (3x² - 2x³y²)², the expansion yields 9x⁴ + 4x⁶y⁴ - 12x⁵y²

Highlight: The somma per differenza formula (A+B)(A-B) = A² - B² represents the difference of squares, a crucial concept in algebraic factoring.

Example: When applying the difference of squares to (5x + 2y)(5x - 2y), we get 25x² - 4y²