A circular mirror is surrounded by a square metal frame. The radius of the mirror is 5x. The side length of the metal frame is 15x. What is the area of the metal frame? Write your answer in factored form.

Please do not ask the same question 3 times. Once is enough.

Sorry, I accidently clicked it an extra two times

I've had that problem myself. : )

To find the area of the metal frame, we need to subtract the area of the circular mirror from the area of the square frame.

First, let's find the area of the circular mirror:
The formula for the area of a circle is A = πr^2, where "A" represents area and "r" represents the radius.
Given that the radius of the mirror is 5x, we can substitute this value into the formula:
A_m = π(5x)^2
A_m = π(25x^2)
A_m = 25πx^2

Next, let's find the area of the square frame:
The formula for the area of a square is A = s^2, where "A" represents area and "s" represents the side length.
Given that the side length of the frame is 15x, we can substitute this value into the formula:
A_f = (15x)^2
A_f = 225x^2

Now, let's find the area of the metal frame by subtracting the area of the circular mirror from the area of the square frame:
A_frame = A_f - A_m
A_frame = 225x^2 - 25πx^2

So, the area of the metal frame, in factored form, is (225 - 25π)x^2.