Question

Раскрыть скобки (2 1/3z + 1 1/2k)^2

Answer 1

Надеюсь, я правильно написала в скобках

Answer 2

To expand the expression (2 1/3z + 1 1/2k)^2, you can use the formula for expanding the square of a binomial:

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

where "a" and "b" are the terms inside the parentheses.

In this case, a = 2 1/3z and b = 1 1/2k. Let's proceed with the expansion step by step:

Step 1: Find the squares of both terms. (a)^2 = (2 1/3z)^2 = (2 1/3)^2 * z^2 = (7/3)^2 * z^2 = 49/9 * z^2 (b)^2 = (1 1/2k)^2 = (3/2)^2 * k^2 = 9/4 * k^2

Step 2: Find twice the product of the two terms. 2ab = 2 * (2 1/3z) * (1 1/2k) = 2 * (7/3) * (3/2) * zk = 7zk

Step 3: Combine the results from Step 1 and Step 2 to get the final expression: (2 1/3z + 1 1/2k)^2 = (a)^2 + 2ab + (b)^2 = 49/9 * z^2 + 7zk + 9/4 * k^2

So the expanded expression is: (2 1/3z + 1 1/2k)^2 = 49/9 * z^2 + 7zk + 9/4 * k^2