Question

multiply. $(2x - y)^2$ (20 points)
$(2x - y)^2 = \square$

Explanation:

Step1: Recall the square of a binomial formula

The formula for \((a - b)^2\) is \(a^2 - 2ab + b^2\). Here, \(a = 2x\) and \(b = y\).

Step2: Substitute \(a = 2x\) and \(b = y\) into the formula

First, calculate \(a^2=(2x)^2 = 4x^2\).
Then, calculate \(2ab = 2\times(2x)\times y=4xy\).
Finally, calculate \(b^2 = y^2\).
So, \((2x - y)^2=(2x)^2-2\times(2x)\times y + y^2\).

Step3: Simplify the expression

Simplifying each term, we get \(4x^2-4xy + y^2\).

Answer:

\(4x^2 - 4xy + y^2\)