Question

Преобразуйте в многочлен и выберите правильный ответ  ( m+n )2 срочно пожалуйста!!!​

Answer 1

Ответ:

m^2+2mn+n^2

Объяснение:

^ это степень

Answer 2

Converting to a Polynomial

To convert the expression (+m+n+)^2 into a polynomial, we need to expand it using the binomial theorem. The binomial theorem states that for any two terms a and b and a positive integer n, the expansion of (a + b)^n can be written as the sum of the terms:

(a + b)^n = C(n, 0) * a^n * b^0 + C(n, 1) * a^(n-1) * b^1 + C(n, 2) * a^(n-2) * b^2 + ... + C(n, n-1) * a^1 * b^(n-1) + C(n, n) * a^0 * b^n

where C(n, k) represents the binomial coefficient, which is the number of ways to choose k items from a set of n items.

In our case, the expression is (+m+n+)^2, which means a = +m+n+ and b = 0. Since b = 0, all terms in the expansion will have b^0 = 1.

Let's expand the expression using the binomial theorem:

(+m+n+)^2 = C(2, 0) * (+m+n+)^2 * 1^0 + C(2, 1) * (+m+n+)^1 * 1^1 + C(2, 2) * (+m+n+)^0 * 1^2

Simplifying the terms:

(+m+n+)^2 = C(2, 0) * (+m+n+)^2 + C(2, 1) * (+m+n+)^1 + C(2, 2) * (+m+n+)^0

Now, let's calculate the binomial coefficients:

C(2, 0) = 1 C(2, 1) = 2 C(2, 2) = 1

Substituting the values:

(+m+n+)^2 = 1 * (+m+n+)^2 + 2 * (+m+n+)^1 + 1 * (+m+n+)^0

Simplifying further:

(+m+n+)^2 = (+m+n+)^2 + 2 * (+m+n+) + 1

Therefore, the expanded form of (+m+n+)^2 is (+m+n+)^2 = (+m+n+)^2 + 2 * (+m+n+) + 1.

Please let me know if you have any further questions!