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Yanka [14]
2 years ago
13

How do you simplify

%28x%2B3%29x%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D" id="TexFormula1" title="\frac{2}{5} (x+3)x^{\frac{5}{2} } -2(x+3)x^{\frac{3}{2} }" alt="\frac{2}{5} (x+3)x^{\frac{5}{2} } -2(x+3)x^{\frac{3}{2} }" align="absmiddle" class="latex-formula"> into \frac{2}{5} (x-2)(x+3)^{\frac{3}{2} }
Mathematics
1 answer:
jarptica [38.1K]2 years ago
6 0

The given simplification is not correct. This one is:

\displaystyle \frac25 (x + 3) x^{5/2} - 2 (x+3) x^{3/2} = \frac25 (x+3) x^{3/2} \bigg(x^{2/2} - 5\bigg) = \frac25 (x+3) x^{3/2} (x - 5)

which is just a matter of recognizing 2(x+3)x^{3/2} as a common factor to both expressions in the sum.

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