Question

Evaluate : (1/2)^3 +(1/3)^3 –(5/6)^3

Answer 1

(1*1*1/2*2*2)+(1*1*1/3*3*3)-(5*5*5/6*6*6)

(1/8+1/27)-125/216

(27+8/216)-125/216

35/216-125/216

-90/216

Answer 2

$( \frac{ 1}{2} ) ^{3} + ( \frac{1}{3} )^{3 } - ( \frac{5}{6 } ) ^{3}$

$= \frac{1}{8} + \frac{1}{27} - \frac{125}{216}$

$= \frac{27 + 8}{216} - \frac{125}{126}$

$= \frac{35}{216} - \frac{125}{126}$

$= \frac{ - 90}{216}$

$= \frac{ - 49}{108}$

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