Question

(k+2n)(k-2n) Расскрой скобки

Answer 1

Ответ:

Объяснение:

(k + 2n)(k - 2n) = k² + 2nk - 2nk - 4n² = k² - 4n²

или решим используя формулу:

(a + b)(a - b) = a² - b²

(k + 2n)(k - 2n) = k² - 4n²

Answer 2

(k+2n)(k-2n)=k^2-4n^2

Answer 3

To expand the expression (k + 2n)(k - 2n), you can use the distributive property (also known as FOIL method):

FOIL stands for: F - First term (k * k) O - Outer term (k * -2n) I - Inner term (2n * k) L - Last term (2n * -2n)

Let's apply FOIL:

(k + 2n)(k - 2n) = k * k + k * (-2n) + 2n * k + 2n * (-2n)

Now, multiply the terms:

k * k = k^2 (the square of k) k * (-2n) = -2nk 2n * k = 2nk 2n * (-2n) = -4n^2 (the square of 2n)

Now put the terms together:

k^2 - 2nk + 2nk - 4n^2

Notice that the "2nk" and "-2nk" terms cancel each other out, so the expression simplifies to:

k^2 - 4n^2

So the fully expanded expression is:

(k + 2n)(k - 2n) = k^2 - 4n^2