Evaluate
2x^{\frac{3}{2}}-1
Factor
2x^{\frac{3}{2}}-1
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2x^{\frac{1}{2}}x-x^{\frac{1}{2}}x^{-\frac{1}{2}}
Use the distributive property to multiply x^{\frac{1}{2}} by 2x-x^{-\frac{1}{2}}.
2x^{\frac{3}{2}}-x^{\frac{1}{2}}x^{-\frac{1}{2}}
To multiply powers of the same base, add their exponents. Add \frac{1}{2} and 1 to get \frac{3}{2}.
2x^{\frac{3}{2}}-1
Multiply x^{\frac{1}{2}} and x^{-\frac{1}{2}} to get 1.
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