Question

X-y+x²-y² розкласти на множники

Answer 1

Ответ:

Объяснение:

x-y+x^2-y^2=

=(x-y)(x+y+1)=

проверка

=x^2+xy+x-xy-y^2-y=

=x^2+x-y^2-y=

=x-y+x^2-y^2

Answer 2

Factoring the Expression x-y+x²-y²

To factor the expression x-y+x²-y², we can use the difference of squares formula and rearrange the terms. Let's break it down step by step:

1. Rearrange the terms: x-y+x²-y² can be rewritten as x²-y²+x-y.

2. Apply the difference of squares formula: The difference of squares formula states that a² - b² can be factored as (a+b)(a-b). In our case, x²-y² can be factored as (x+y)(x-y).

3. Factor out common terms: We can factor out a common factor of 1 from x-y, which gives us 1(x-y).

Putting it all together, the expression x-y+x²-y² can be factored as (x+y)(x-y) + (x-y).

Please let me know if you have any further questions!