What is (-7/3 x+8/5 y)^3 ?

The solution to (-7/3 x+8/5 y)^3 is -(343x^3)/(27)+(392x^2y)/(15)-(448xy^2)/(25)+(512y^3)/(125)

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simplify (-7/3 x+8/5 y)^3

simplify

(- \frac{7}{3} x + \frac{8}{5} y)^{3}

- \frac{343 x ^{3}}{27} + \frac{392 x ^{2} y}{15} - \frac{448 x y ^{2}}{25} + \frac{512 y ^{3}}{125}

Solution steps

(- \frac{7}{3} x + \frac{8}{5} y)^{3}

Multiply

\frac{7}{3} x : \frac{7 x}{3}

= (- \frac{7 x}{3} + \frac{8}{5} y)^{3}

Multiply

\frac{8}{5} y : \frac{8 y}{5}

= (- \frac{7 x}{3} + \frac{8 y}{5})^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

a = - \frac{7 x}{3}, b = \frac{8 y}{5}

= (- \frac{7 x}{3})^{3} + 3 (- \frac{7 x}{3})^{2} \frac{8 y}{5} + 3 (- \frac{7 x}{3}) (\frac{8 y}{5})^{2} + (\frac{8 y}{5})^{3}

Simplify

(- \frac{7 x}{3})^{3} + 3 (- \frac{7 x}{3})^{2} \frac{8 y}{5} + 3 (- \frac{7 x}{3}) (\frac{8 y}{5})^{2} + (\frac{8 y}{5})^{3} : - \frac{343 x ^{3}}{27} + \frac{392 x ^{2} y}{15} - \frac{448 x y ^{2}}{25} + \frac{512 y ^{3}}{125}

= - \frac{343 x ^{3}}{27} + \frac{392 x ^{2} y}{15} - \frac{448 x y ^{2}}{25} + \frac{512 y ^{3}}{125}

16370 b + m - x^{100000000} + s - 0 f^{27} b

- \frac{7}{8} x - \frac{5}{7} - \frac{\frac{1}{14}}{5}

16 x^{4} + 7 x^{2} + 1

9 a^{4} - a^{2} - 12 a - 36

(2 x + 5)^{3} - (2 x - 5)^{3}

What is (-7/3 x+8/5 y)^3 ?
The solution to (-7/3 x+8/5 y)^3 is -(343x^3)/(27)+(392x^2y)/(15)-(448xy^2)/(25)+(512y^3)/(125)