What is (1/4 x^2+1/6 x^3)(1/2 x^4-1/3 x^6) ?

The solution to (1/4 x^2+1/6 x^3)(1/2 x^4-1/3 x^6) is ((x^2)/4+(x^3)/6)((x^4)/2-(x^6)/3)

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simplify (1/4 x^2+1/6 x^3)(1/2 x^4-1/3 x^6)

simplify

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

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

Solution steps

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

\frac{1}{4} x^{2} = \frac{x ^{2}}{4}

\frac{1}{6} x^{3} = \frac{x ^{3}}{6}

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

\frac{1}{2} x^{4} = \frac{x ^{4}}{2}

\frac{1}{3} x^{6} = \frac{x ^{6}}{3}

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

(\frac{2 x}{3 y ^{4}})^{3}

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

(x^{3} - y)^{3}

- 2 - 4 (x - 1) + x

320 x + 9600 - 4 x^{2}

What is (1/4 x^2+1/6 x^3)(1/2 x^4-1/3 x^6) ?
The solution to (1/4 x^2+1/6 x^3)(1/2 x^4-1/3 x^6) is ((x^2)/4+(x^3)/6)((x^4)/2-(x^6)/3)