Question

А2=(а+b)(а-b)+b2 что это за формула ?

Answer 1

Формула сокращённого умножения

Answer 2

The formula you provided is a simplified version of the algebraic identity known as "Difference of Squares." Here's how it works:

The expression you wrote is: A2 = (a + b)(a - b) + b2

To understand this better, let's break it down step by step:

1. (a + b)(a - b): This is the multiplication of two binomials, where the first binomial is (a + b) and the second one is (a - b). When you multiply these two binomials, you get the difference of squares: (a + b)(a - b) = a^2 - b^2

2. b2: This term simply means b squared, which is b^2.

Now, putting it all together: A^2 = (a + b)(a - b) + b^2 A^2 = a^2 - b^2 + b^2

Notice that the term "-b^2" and "+b^2" cancel each other out, leaving us with the simplified form: A^2 = a^2

So, the formula A^2 = a^2 is known as the "Difference of Squares" identity. It tells us that the square of the sum of two terms (a + b) multiplied by the square of the difference of the same terms (a - b) is equal to the square of one of the terms (a^2 in this case).