Latest 3i-Infotech Aptitude Question SOLUTION: Simplify the following 515*515*515-221*221*221/(515*515+515*221+221*221)

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Simplify the following 515*515*515-221*221*221/(515*515+515*221+221*221)

Asked In 3i-Infotech chandreyee chowdhury (10 years ago)

Solved RAKESH Read Solution (11)

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Read Solution (11) :

RAKESH  (10 years ago)

515*515*515-221*221*221/(515*515+515*221*221+221)

=[(515)^3 - (221)^3 ] / [(515)^2 + 515*221 + (221)^2]

if x = 515 & y = 221 then exp is

(x^3 - y^3)/(x^2 + xy + y^2) which is equal to (x-y)

(x^3 - y^3)/(x^2 + xy + y^2)=(x-y)

[(515)^3 - (221)^3 ] / [(515)^2 + 515*221 + (221)^2] = (515-221)= 294

ans: 294

Is this solution Helpfull? Yes (6) | No   

madhulikadoggala  (10 years ago)

wee know that a^3-b^3=(a-b)*(a^2+a*b+b^2)
therefore the given problemis in the form of
=(a^3-b^3)/(a^2+a*b+b^2)
+a-b
=515-221
=294

Is this solution Helpfull? Yes (2) | No   

Pushpraj Singh  (10 years ago)

a^3-b^3=(a-b)(a^2+ab+b^2).
so....
(a^3-b^3)/(a^2+ab+b^2)=(a-b)
=(515-221)
=294
ans 294

Is this solution Helpfull? Yes (1) | No   

Subrata Patra  (10 years ago)

simply 515-221=294

Is this solution Helpfull? Yes (1) | No   

Neha Shahi  (10 years ago)

(515^3-221^3)/((515^2)+515*221+(221^2))
(x^3-y^3)/(x^2+xy+y^2)=x-y
so,ans=515-221=294

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sruthi  (10 years ago)

by a^3-b^3/(a^2+ab+b^2)=a-b
515-221=294

Is this solution Helpfull? Yes | No   

Rahul singh  (9 years ago)

303 by using the formula

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Narendra Kadari  (9 years ago)

(a3-b3)/(a2+ab+b2)=(a-b)

Is this solution Helpfull? Yes | No   

Dark Knight  (9 years ago)

(a^3 -b^3)=(a-b)(a^2 +ab + b^2)
use this formula where a=515
b=221
hence 515-221=294

Is this solution Helpfull? Yes | No   

mantha siddartha  (9 years ago)

(a^3 -b^3)/(a^2+ab+b^2)=a-b
here a=515 b=221
ans=515-221=294

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Ayesha khanam  (7 years ago)

294
a^3-b^3 formula have to apply

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