Question

(a-b)^2,(a+b)^3,(a-b)^3a^3+b^3​

Answer 1

Ответ:

a^2-2ab+b^2

a^3+3a^2*b+3ab^2+b^3

a^3-3a^2*b+3ab^2-b^3

(a+b)(a^2-ab+b^2)

Объяснение:

Пользуемся формулами сокращенного умножения:

квадрат разности равен сумме квадратов минус удвоенное произведение

куб суммы равен сумме кубов, утроенному произведению квадрата первого на второе и утроенному произведению первого на квадрат второго и т.д.

Answer 2

It seems like you've provided three different expressions. Let's simplify each one:

1. $(a - b)^2$:

Expanding this expression gives:

$(a - b)^2 = a^2 - 2ab + b^2$

2. $(a + b)^3$:

Using the binomial theorem, we can expand this as follows:

$(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3$

3. $(a - b)^3$:

Similarly, using the binomial theorem, we can expand this as follows:

$(a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3$

Now, let's look at the expression $a^3 + b^3$ that you provided:

$a^3 + b^3$

This is a sum of cubes. The formula for sum of cubes is:

$a^3 + b^3 = (a + b)(a^2 - ab + b^2)$

So, the simplified version of the given expression $a^3 + b^3$ is $a^3 + b^3 = (a + b)(a^2 - ab + b^2)$.

If you were referring to a different expression, please provide more context or clarify your question.