What is (4x^3-(15x^{1/2})/2)x^{1/2} ?

The solution to (4x^3-(15x^{1/2})/2)x^{1/2} is ((8x^3-15x^{1/2})x^{1/2})/2

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simplify (4x^3-(15x^{1/2})/2)x^{1/2}

simplify

(4 x^{3} - \frac{15 x ^{\frac{1}{2}}}{2}) x^{\frac{1}{2}}

\frac{( 8 x ^{3} - 15 x ^{\frac{1}{2}} ) x ^{\frac{1}{2}}}{2}

Solution steps

(4 x^{3} - \frac{15 x ^{\frac{1}{2}}}{2}) x^{\frac{1}{2}}

Join

4 x^{3} - \frac{15 x ^{\frac{1}{2}}}{2} : \frac{8 x ^{3} - 15 x ^{\frac{1}{2}}}{2}

= \frac{8 x ^{3} - 15 x ^{\frac{1}{2}}}{2} x^{\frac{1}{2}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( 8 x ^{3} - 15 x ^{\frac{1}{2}} ) x ^{\frac{1}{2}}}{2}

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

(2 x - y 3) (2 x + y 3)

(z - \frac{1}{z})^{3}

l (1 - 3 cos (t))

\frac{4 x - 19}{( x + 4 ) ^{2}}

What is (4x^3-(15x^{1/2})/2)x^{1/2} ?
The solution to (4x^3-(15x^{1/2})/2)x^{1/2} is ((8x^3-15x^{1/2})x^{1/2})/2