https://file.aiquickdraw.com/mathbot/file/1726787609397jurpt2ci.jpg

The problem shown in the image is:

\[
(4x - y)^2
\]

This is a binomial square, and it can be expanded using the formula for the square of a binomial:

\[
(a - b)^2 = a^2 - 2ab + b^2
\]

Here, \(a = 4x\) and \(b = y\). Applying the formula:

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

Now, simplify each term:

1. \((4x)^2 = 16x^2\)
2. \(-2(4x)(y) = -8xy\)
3. \(y^2 = y^2\)

So, the expanded form is:

\[
16x^2 - 8xy + y^2
\]

Would you like more details on how this was derived, or do you have any further questions?

Here are five related questions for practice:

1. Expand and simplify \((5a - 2b)^2\).
2. Expand and simplify \((3x + 2)^2\).
3. What is the result of \((6x - 3)^2\)?
4. Expand \((2x - y)^2\) and explain each step.
5. What happens when you square a sum, such as \((x + 3)^2\)?

**Tip**: When squaring binomials, always use the binomial square formula to quickly expand and simplify.

Learn how to expand and simplify (4x - y)^2 using the binomial expansion formula. This problem focuses on algebraic manipulation and binomial square concepts. Suitable for students in Grades 9-10.

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