Which expression represents x² - 8x + 16 in factored form?
(x + 4)²
(x - 4)²
(x + 4)(x - 4)
(x - 2)(x - 8)

Solution:

The given equation is :

x² - 8x + 16

And it can be factorized as follows:

x² - 4x - 4x + 16

x(x - 4) - 4(x - 4)

Taking (x - 4) as the common factor we get

(x - 4)(x - 4) = (x - 4)²

As the factors of the given equation.

Another example of the above type can be the factorization of the following equation:

x² - 14x + 49

x² - 7x - 7x + 49

x(x - 7) -7(x - 7)

Taking (x - 7) as common factor we get

(x - 7)(x - 7)

(x - 7)²

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Which expression represents x² - 8x + 16 in factored form?

Summary:

The expression (x - 4)² represents x² - 8x + 16 in factored form.