Question

Express the following cubes as the sum of odd consecutive odd number

8 cube

Answer 1

8 cube=8×8×8=64×8=512

512=255+257

So, 8 cube=255+257

Answer 2

$Let \: us \: assume \: x \:and \:(x+2) \:are \\two \: consecutive \:odd \: numbers$

/* According to the problem given */

$x + ( x + 2 ) = 8^{3}$

$\implies 2x + 2 = 512$

$\implies 2x = 512 - 2$

$\implies 2x = 510$

$\implies x = \frac{510}{2}$

$\implies x = 255$

Therefore.,

$\red { 8^{3}} \green { = 255 + 257 }$

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