Dennis says that (2x-7)^2=(7-2x)^2.Do you agree with Dennis?Explain

Answer please steve

huh? I already told you one thing to try. If they are equal, they must be equal for all values of x.

So, is it true if x=2?

Oops. I guess you mistyped it before. I see it is different now.

So, you know that u^2 = (-u)^2, right?

so what if u = 2x-7 ?

That is x

huh? what does that mean? "That is x" ? ?

If u = 2x-7, then
(2x-7)^2 = (-(2x-7))^2 = (7-2x)^2

To determine if Dennis is correct, we can simplify both sides of the equation and compare them.

Let's start by expanding the square on the left side of the equation:
(2x - 7)^2 = (2x - 7)(2x - 7) = 4x^2 - 14x - 14x + 49 = 4x^2 - 28x + 49

Now, let's expand the square on the right side of the equation:
(7 - 2x)^2 = (7 - 2x)(7 - 2x) = 49 - 14x - 14x + 4x^2 = 4x^2 - 28x + 49

As you can see, the expanded forms of both sides are exactly the same: 4x^2 - 28x + 49.

Therefore, Dennis is correct. Both sides of the equation are equal.

So, the answer to the question is "Yes, I agree with Dennis. The equation is true."