Question

Разложить на множители a^2-b^2-a-b, пожалуйста с пояснениями.

Answer 1

A²-b²-a-b= (a²-b²)-(a+b)=(a-b)(a+b)-(a+b)=(a+b)(a-b-1)

*** При решении использовали формулу разности квадратов
     a²-b²=(a-b)(a+b), а затем, вынесли общий множитель (a-b) за скобки.
     В результате, в уменьшаемом остаётся выражение a-b, а в вычитаемом единица.

Answer 2

Factoring the Expression a^2 - b^2 - a - b

To factor the expression a^2 - b^2 - a - b, we can use the difference of squares formula and then factor by grouping.

1. Difference of Squares: - The expression a^2 - b^2 can be factored as (a - b)(a + b) using the difference of squares formula.

2. Factor by Grouping: - After factoring out a^2 - b^2, we can then factor the remaining terms -a - b by grouping.

3. Final Factored Form: - Combining the factored forms of a^2 - b^2 and -a - b, the expression a^2 - b^2 - a - b can be factored as (a - b)(a + b) - 1(a + b).

Therefore, the factored form of the expression a^2 - b^2 - a - b is (a - b - 1)(a + b).

I hope this helps! If you have further questions or need additional assistance, feel free to ask.