Question

Question

Answer 1

The area of the square is given by the  quadratic expression:

$A = 9x^2 - 6xy + y^2$

How to express the area of the given square?

If we have a square whose side measures S, the area of said square is given by the equation:

$A = S^2$

In this case, we know that the side length of our square is given by:

$S = 3x - y$

Replacing that in the area equation we get:

$A = (3x - y)^2$

Now we just need to expand that product, we will get:

$A = (3x - y)^2 = (3x)*(3x) + (3x)*(-y) + (-y)*(3x) + (-y)*(-y) \\\\A = 9x^2 - 6xy + y^2$

Then we can see that the correct option is the last one.

If you want to learn more about squares you can read:

brainly.com/question/24487155

#SPJ1