Mutiply (2x-y)^2

Answer 1

To multiply \((2x - y)^2\), you can use the formula for the square of a binomial, which states that \((a - b)^2 = a^2 - 2ab + b^2\).

Here, \(a = 2x\) and \(b = y\).

So, applying the formula:

\[ (2x - y)^2 = (2x)^2 - 2(2x)(y) + y^2 \]

Calculating each term:

1. \((2x)^2 = 4x^2\)
2. \(-2(2x)(y) = -4xy\)
3. \(y^2 = y^2\)

Putting it all together, we get:

\[ (2x - y)^2 = 4x^2 - 4xy + y^2 \]

Therefore, the expanded form of \((2x - y)^2\) is

\[ \boxed{4x^2 - 4xy + y^2} \]