What is x^2(2x-(4x^3)/3+(4x^5)/(15)) ?

The solution to x^2(2x-(4x^3)/3+(4x^5)/(15)) is (x^2(30x-20x^3+4x^5))/(15)

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simplify x^2(2x-(4x^3)/3+(4x^5)/(15))

simplify

x^{2} (2 x - \frac{4 x ^{3}}{3} + \frac{4 x ^{5}}{15})

\frac{x ^{2} ( 30 x - 20 x ^{3} + 4 x ^{5} )}{15}

Solution steps

x^{2} (2 x - \frac{4 x ^{3}}{3} + \frac{4 x ^{5}}{15})

Join

2 x - \frac{4 x ^{3}}{3} + \frac{4 x ^{5}}{15} : \frac{30 x - 20 x ^{3} + 4 x ^{5}}{15}

= x^{2} \frac{30 x - 20 x ^{3} + 4 x ^{5}}{15}

Apply the fraction rule:

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

= \frac{x ^{2} ( 30 x - 20 x ^{3} + 4 x ^{5} )}{15}

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

(\frac{4}{3} + \frac{11 x}{3})^{3}

(x - a)^{2}

(y + 5 y^{3}) (\frac{- 2}{y ^{3}} + \frac{3}{y ^{5}})

(- 3, - 4) y (- 2, - 8)

What is x^2(2x-(4x^3)/3+(4x^5)/(15)) ?
The solution to x^2(2x-(4x^3)/3+(4x^5)/(15)) is (x^2(30x-20x^3+4x^5))/(15)