Question

If (8/15)^3-(1/3)^3-(1/5)^3=x/75, find x..with explanation


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Answer 1

こんいちわともだち

______________________________

$( { \frac{8}{15}) }^{3} - ({ \frac{1}{3} )}^{3} - ( { \frac{1}{5} })^{3} = \frac{x}{75}$

=$\frac{512}{3375} - \frac{1}{27} - \frac{1}{125} = \frac{x}{75}$

=$\frac{512 - 125 - 27}{3375} = \frac{x}{75}$

=$\frac{360}{3375} = \frac{x}{75}$

=$\frac{8}{75} = \frac{x}{75}$

=$x = 8$

Answer 2

Answer:

$______________________________</p><p></p><p>( { \frac{8}{15}) }^{3} - ({ \frac{1}{3} )}^{3} - ( { \frac{1}{5} })^{3} = \frac{x}{75}(158)3−(31)3−(51)3=75x</p><p></p><p>=\frac{512}{3375} - \frac{1}{27} - \frac{1}{125} = \frac{x}{75}3375512−271−1251=75x</p><p></p><p>=\frac{512 - 125 - 27}{3375} = \frac{x}{75}3375512−125−27=75x</p><p></p><p>=\frac{360}{3375} = \frac{x}{75}3375360=75x</p><p></p><p>=\frac{8}{75} = \frac{x}{75}758=75x</p><p></p><p>=x = 8x=8</p><p></p><p>$