Question

Would this expression:

Answer 1

The given expression is a perfect square trinomial.

How to classify the given expression?

Here we have the expression:

$(x^2 - 16)^2$

Notice that we can rewrite it as:

$(x^2 - 4^2)^2$

Then we can see that inside the parenthesis we have a difference of squares, but it is squared, so if we define:

$x^2 = a\\4^2 = b$

We will have:

$(a - b)^2 = a^2 + -2ab + b^2 = (x^2)^2 - 2*(4^2)*(x^2) + (4^2)^2$

Which is in fact, a perfect square trinomial.

If you want to learn more about perfect squares:

brainly.com/question/1538726

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