What is expand (24x^{1/2}-10x^{3/2})dx ?

The solution to expand (24x^{1/2}-10x^{3/2})dx is 24x^{1/2}dx-10x^{3/2}dx

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expand (24x^{1/2}-10x^{3/2})dx

expand

(24 x^{\frac{1}{2}} - 10 x^{\frac{3}{2}}) d x

24 x^{\frac{1}{2}} d x - 10 x^{\frac{3}{2}} d x

Solution steps

(24 x^{\frac{1}{2}} - 10 x^{\frac{3}{2}}) d x

Apply the distributive law:

a (b - c) = ab - a c

a = d x, b = 24 x^{\frac{1}{2}}, c = 10 x^{\frac{3}{2}}

= d x \cdot 24 x^{\frac{1}{2}} - d x \cdot 10 x^{\frac{3}{2}}

= 24 x^{\frac{1}{2}} d x - 10 x^{\frac{3}{2}} d x

\frac{( 2 x + 3 ) ^{3}}{3}

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\frac{( 2 + 5 y ) ^{2}}{4}

What is expand (24x^{1/2}-10x^{3/2})dx ?
The solution to expand (24x^{1/2}-10x^{3/2})dx is 24x^{1/2}dx-10x^{3/2}dx