Simplify Square Root: First, let's simplify the square root part of the function.(x2−1)8=(x2−1)4, since raising to the 8th power and then taking the square root is the same as raising to the 4th power.
Simplify Entire Function: Now, let's simplify the entire function. f(x)=(1−2x)4⋅(x2−1)4
Combine Exponents: We can combine the exponents since they are the same. f(x)=[(1−2x)(x2−1)]4
Expand Terms Inside Brackets: Let's expand the terms inside the brackets before raising to the 4th power.(1−2x)(x2−1)=x2−1−2x3+2x
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