Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare. Which comparison of the childcare costs is accurate?

We have (x + 4i)(x - 4i) as the fullyfactored form of x² + 16.

To factor completely the expression x² + 16, we can use the fact that the sum of squares, in this case, x² + 16, cannot be factored further using real numbers.

However, it can be factored using complex numbers.

The expression x² + 16 represents a quadratic trinomial with no real roots. Instead, it can be factored using complex numbers and the imaginary unit, denoted by 'i.'

The square root of -1 is represented by 'i,' and we can use this concept to factor the expression.

The factorization of x² + 16 can be done as follows:

x² + 16 = (x + 4i)(x - 4i)

Here, we have used the difference of squares formula, which states that a² - b² can be factored as (a + b)(a - b).

In this case, a = x and b = 4i.

It's important to note that the factors (x + 4i) and (x - 4i) cannot be further simplified using real numbers, as 'i' represents an imaginary number.

Therefore, we have (x + 4i)(x - 4i) as the fullyfactored form of x² + 16.

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