What is 20(1/2 xsqrt(16-1/4)x^2) ?

The solution to 20(1/2 xsqrt(16-1/4)x^2) is 15sqrt(7)x^3

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simplify 20(1/2 xsqrt(16-1/4)x^2)

simplify

20 (\frac{1}{2} x 16 - \frac{1}{4} x^{2})

157 x^{3}

Solution steps

20 (\frac{1}{2} x 16 - \frac{1}{4} x^{2})

Simplify

x x^{2} : x^{3}

= 20 \cdot \frac{1}{2} x^{3} 16 - \frac{1}{4}

Simplify

\frac{1}{2} x^{3} 16 - \frac{1}{4} : \frac{3 7 x ^{3}}{4}

= 20 \cdot \frac{3 7 x ^{3}}{4}

Apply the fraction rule:

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

= \frac{20 \cdot 3 7 x ^{3}}{4}

Divide the numbers:

\frac{20}{4} = 5

= 5 \cdot 37 x^{3}

Multiply the numbers:

5 \cdot 3 = 15

= 157 x^{3}

x x^{\frac{3}{2}}

x \cdot 2

x \cdot (3 x^{3})

e \cdot e^{- 1}

What is 20(1/2 xsqrt(16-1/4)x^2) ?
The solution to 20(1/2 xsqrt(16-1/4)x^2) is 15sqrt(7)x^3