Question 127

$$55^{3} + 17^{3} - 72^{3}$$ + 201960 is equal to

Solution

$$55^{3} + 17^{3} - 72^{3}$$ + 201960

we know that $$a^3 + b^3 + c^3 - 3 a b c$$ = 0 ,if a+b+c = 0

here , the equation $$55^{3} + 17^{3} - 72^{3}$$ + 201960 = $$55^{3} + 17^{3} + (-72)^{3} - 3 \times 55 \times 17 \times (-72)$$

a = 55 , b = 17 , c = -72

55+17+(-72) = 0

hence , $$55^{3} + 17^{3} - 72^{3}$$ + 201960 = 0

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