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tamaranim1 [39]
3 years ago
14

How do I simplify this expression?

Mathematics
1 answer:
babymother [125]3 years ago
4 0

We can write

3x^{3/2}-9x^{1/2}+6x^{-1/2}=3x^{2-1/2}-9x^{1-1/2}+6x^{-1/2}

and see that each term has a common factor of 3x^{-1/2}; factoring this from each term gives

3x^{3/2}-9x^{1/2}+6x^{-1/2}=3x^{-1/2}(x^2-3x+2)

We can factorize this further:

3x^{-1/2}(x-2)(x-1)

This is probably what is meant by "simplify"...

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