Determine if Odd, Even, or Neither x^4(x^2-1)

Math
Write as a function.
Find .
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Find by substituting for all occurrence of in .
Simplify the expression.
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Apply the product rule to .
Raise to the power of .
Multiply by .
Simplify each term.
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Apply the product rule to .
Raise to the power of .
Multiply by .
Apply the distributive property.
Multiply by by adding the exponents.
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Use the power rule to combine exponents.
Add and .
Move to the left of .
Rewrite as .
A function is even if .
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Check if .
Since , the function is even.
The function is even
The function is even
Determine if Odd, Even, or Neither x^4(x^2-1)

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