What is expand (4x^{1/2}+6x^{3/2})(3x-9) ?

The solution to expand (4x^{1/2}+6x^{3/2})(3x-9) is -42x^{3/2}-36x^{1/2}+18x^{5/2}

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expand (4x^{1/2}+6x^{3/2})(3x-9)

expand

(4 x^{\frac{1}{2}} + 6 x^{\frac{3}{2}}) (3 x - 9)

- 42 x^{\frac{3}{2}} - 36 x^{\frac{1}{2}} + 18 x^{\frac{5}{2}}

Solution steps

(4 x^{\frac{1}{2}} + 6 x^{\frac{3}{2}}) (3 x - 9)

Apply FOIL method

(4 x^{\frac{1}{2}} + 6 x^{\frac{3}{2}}) (3 x - 9) : - 42 x^{\frac{3}{2}} - 36 x^{\frac{1}{2}} + 18 x^{\frac{5}{2}}

= - 42 x^{\frac{3}{2}} - 36 x^{\frac{1}{2}} + 18 x^{\frac{5}{2}}

\frac{2 ( 2 z + 1 )}{4 z + 1}

(3 - x) (\frac{1}{3} + \frac{2}{27} x^{2} + \frac{2}{81} x^{3})

\frac{2 ( 6 + 5 )}{3}

(x^{2} - 2)^{2} 1 + x

P (- 1, 2) Q (4, - 5)

What is expand (4x^{1/2}+6x^{3/2})(3x-9) ?
The solution to expand (4x^{1/2}+6x^{3/2})(3x-9) is -42x^{3/2}-36x^{1/2}+18x^{5/2}