# Find the value of ( 57 * 57 * 57 - 37 * 37 * 37 ) / ( 57 * 57 + 37 * 57 + 37 * 37 )?

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by princyAshi

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by princyAshi

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let a=57 and b=37

we know the formula a³-b³=(a-b)(a²+ab+b²)

see that the equation is of the same type.

by substituting 57 as a and 37 as b , we get,

=(a³-b³)/(a²+ab+b²)

by applying the above mentioned formula , the equation can be modified as:

=(a+b)(a²+ab+b²)/(a²+ab+b²)

cancelling a²+ab+b² from numerator and denominator, we get:

=(a+b)

since a=57 and b=37 , the answer stands:

57+37