Question

Is the expression below a perfect square trinomial or the difference of two squares?

Answer 1

The expression shown below is a difference of two squares.

Is a given expression a perfect square trinomial or a difference of two squares?

In this problem we have an algebraic expression that has to be checked by algebraic procedures. The complete procedure is shown below:

(x² + 8 · x + 16) · (x² - 8 · x + 16)                  Given

(x + 4)² · (x - 4)²                                           Perfect square trinomial

[(x + 4) · (x - 4)] · [(x + 4) · (x - 4)]                 Definition of power / Associative and commutative property

(x² - 16)²                                                      Difference of squares / Definition of power / Result

The expression shown below is a difference of two squares.

To learn more on differences of squares: brainly.com/question/11801811

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