Скачать или смотреть Proof of Difference of Squares Formula in animated geometry| Why a^2 - b^2 = (a + b)(a - b)

We are going to explore the difference of squares formula using a visual method. The formula we are looking at is: a^2 - b^2 = (a + b)(a - b)
This formula is very useful in algebra, and we will use a geometric approach to understand why it works.
By visualizing the squares and rearranging the pieces, we've proven that the algebraic formula
a^2 - b^2 = (a + b)(a - b) is true. This method helps us understand the formula in a more intuitive way.
The difference of squares formula has extensive applications in both mathematics and geometry. Below are its main uses:
For example, it can be used to simplify algebraic expressions, breaking down complex polynomials into simpler factors.
simplifying fractions by factoring the numerator or denominator. It can also be used to solve certain types of equations,
particularly quadratic equations.