which of the following is equivalent to (3^x+1)(3^x-1)^2/9^x for all x? a. 3^2x-1 b. 3^x c. 3^x-1 d. 3^x-2 e. 3^3-x

Explanation:

Given

Required

Find its equivalent

Expand the numerator

Apply law of indices:

This gives

Collect like terms

Express as a factor of 3

Apply law of indices:

This gives

Hence,

is equivalent to

the answer is:

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hope it !