What is expand (x^{7/2}-x^{5/2})*x^{3/2} ?

The solution to expand (x^{7/2}-x^{5/2})*x^{3/2} is x^5-x^4

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expand (x^{7/2}-x^{5/2})*x^{3/2}

expand

(x^{\frac{7}{2}} - x^{\frac{5}{2}}) \cdot x^{\frac{3}{2}}

x^{5} - x^{4}

Solution steps

(x^{\frac{7}{2}} - x^{\frac{5}{2}}) x^{\frac{3}{2}}

= x^{\frac{3}{2}} (x^{\frac{7}{2}} - x^{\frac{5}{2}})

Apply the distributive law:

a (b - c) = ab - a c

x^{\frac{3}{2}} (x^{\frac{7}{2}} - x^{\frac{5}{2}}) = x^{\frac{3}{2}} x^{\frac{7}{2}} - x^{\frac{3}{2}} x^{\frac{5}{2}}

= x^{\frac{3}{2}} x^{\frac{7}{2}} - x^{\frac{3}{2}} x^{\frac{5}{2}}

x^{\frac{3}{2}} x^{\frac{7}{2}} = x^{5}

x^{\frac{3}{2}} x^{\frac{5}{2}} = x^{4}

= x^{5} - x^{4}

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What is expand (x^{7/2}-x^{5/2})*x^{3/2} ?
The solution to expand (x^{7/2}-x^{5/2})*x^{3/2} is x^5-x^4