The solution to the expression using the FOIL method is x⁴ - 6x² + 8
<h3>How to evaluate the expression using FOIL?</h3>
From the question, we have the following parameters that can be used in our computation:
(X2-2)(x2-4)
Rewrite the expression properly
So, we have
(x² -2)(x² - 4)
The FOIL method states that: First, Outside, Inside, and Last
Using the acronym as a guide, we have
(x² -2)(x² - 4)
Expand the expression
This gives
(x² -2)(x² - 4) = x²(x² - 4) -2(x² - 4)
Expand the brackets
So, we have the following representation
(x² -2)(x² - 4) = x⁴ - 4x² -2x² + 8
Collect the like terms
This gives
(x² -2)(x² - 4) = x⁴ - 4x² -2x² + 8
Lastly, we evaluate the like terms
(x² -2)(x² - 4) = x⁴ - 6x² + 8
Hence, the solution to the equation is x⁴ - 6x² + 8
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brainly.com/question/4344214
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