What is (xy)/6*(4x)/(16-3x^2) ?

The solution to (xy)/6*(4x)/(16-3x^2) is (2x^2y)/(3(16-3x^2))

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simplify (xy)/6*(4x)/(16-3x^2)

simplify

\frac{x y}{6} \cdot \frac{4 x}{16 - 3 x ^{2}}

\frac{2 x ^{2} y}{3 ( 16 - 3 x ^{2} )}

Solution steps

\frac{x y}{6} \cdot \frac{4 x}{16 - 3 x ^{2}}

Apply the fraction rule:

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

= \frac{x y \cdot 4 x}{6 ( 16 - 3 x ^{2} )}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{x ^{2} y \cdot 4}{6 ( 16 - 3 x ^{2} )}

Cancel

\frac{x ^{2} y \cdot 4}{6 ( 16 - 3 x ^{2} )} : \frac{x ^{2} y \cdot 2}{3 ( 16 - 3 x ^{2} )}

= \frac{x ^{2} y \cdot 2}{3 ( 16 - 3 x ^{2} )}

= \frac{2 x ^{2} y}{3 ( 16 - 3 x ^{2} )}

3 x^{2} = - 54

- 9 x > - 99

12 (2 x^{2} - 15 - 8)

\frac{6}{27} \cdot \frac{3}{9} + \frac{12}{4}

x^{3} - 11 x^{2} + 44 x - 60

What is (xy)/6*(4x)/(16-3x^2) ?
The solution to (xy)/6*(4x)/(16-3x^2) is (2x^2y)/(3(16-3x^2))