Question: 1. Write a paragraph explaining to a classmate why 1 / [(x - 2)1/2 + x4 (x - 2)-1/2 + x-4 2. You are

1. Write a paragraph explaining to a classmate why
1 / [(x - 2)1/2 + x4 ≠ (x - 2)-1/2 + x-4
2. You are taking a course in calculus, and for one of the homework problems you obtain the following answer.
2/3x (2x - 3)3/2 - 2/15 (2x - 3)5/2
The answer in the back of the book is
2/5 (2x - 3)3/2 (x + 1).
Show how the second answer can be obtained from the first. Then use the same technique to simplify the expression
2/3 x (4 + x)3/2 - 2/15 (4 + x)5/2.

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