3 years ago

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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