Question

1. (a+b)²=2. (a-b)²=3. a²-b²=4. a³-b³=​

Answer 1

Ответ:

1. (а+b)²= ab²

2. (a-b)²= a-b²

3. a²-b²= a-b⁴

4. a³-b³= a-b⁶

Answer 2

1. (a+b)2= a2+2ab+b2
2. (a+b)2=a2-2ab+b2
3. a2-b2=(a+b)(a-b)
4. (a3-b3)=(a-b)(a2+ab+b2

это верный ответ

Answer 3

1. (a + b)²: To expand the expression (a + b)², we use the formula for expanding a binomial squared, which is (a + b)² = a² + 2ab + b². This means that when we square the sum of two terms (a + b), we get the sum of the squares of each term (a² and b²), plus twice the product of the two terms (2ab).

2. (a - b)²: Similar to the previous case, we can expand (a - b)² using the same formula. So, (a - b)² = a² - 2ab + b². Here, we have the squares of each term (a² and b²), but the sign between the two terms is negative since we are subtracting b from a. Also, the product of the two terms is negative since we are subtracting two terms.

3. a² - b²: This expression represents the difference of squares. It can be simplified using the formula a² - b² = (a + b)(a - b). So, a² - b² can be factored as (a + b)(a - b). This means that the expression can be written as the product of the sum and difference of the two terms (a and b).

4. a³ - b³: This expression represents the difference of cubes. It can be simplified using the formula a³ - b³ = (a - b)(a² + ab + b²). So, a³ - b³ can be factored as (a - b)(a² + ab + b²). This means that the expression can be written as the product of the difference of the two terms (a and b) and the sum of their squares and products.

I hope this detailed explanation helps clarify the expansion and simplification of the given expressions. Let me know if you have any further questions!