99^3-56^3-43^3-3*99*56*43=

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29 Jun 2011 solve

99^3-56^3-43^3-3*99*56*43=

OPtion

1) 54658
2) 45368
3) 65438
4) 23145
5) 78654
6) 12321
7) 23190
8) 18769
9) 22314
10) none of these

Solution

According to formula we know that
a^3+b^3+c^3-3*a*b*c = (a+b+c)(a^2+b^2+c^2-a*b-b*c-c*a)
Here a=99, b=-56, c=-43
so a+b+c = 99-56-43 = 0
hence answer will be 0
so option 10th is correct

Correct Option: 10 Best Solution (11)

reya   13 years AGO

970299-175616-79507-715176=0

Like? Yes (3) | No (1)  

A.P.Singh   13 years AGO

a^3 + b^3 + c^3 - 3abc = (a + b + c)(a^2 + b^2 + c^2 - ab - bc - ac)

Here a= 99
b=-56
c=-43

Then 99^3-56^3-43^3-3*99*56*43 = (99-56-43)(a^2 + b^2 + c^2 - ab - bc - ac) = 0*(a^2 + b^2 + c^2 - ab - bc - ac) =0 .. so none of the given options.

Like? Yes (2) | No   

Dimple   13 years AGO

as 99-56-43=0
99^3-56^3-43^3-3*99*56*43= 0

because a^3 + b^3 + c^3 - 3abc = (a + b + c)(a^2 + b^2 + c^2 - ab - bc - ac) and here a+b+c=0

Like? Yes (2) | No   

Rituraj   13 years AGO

10) none of these
because

99^3-56^3-43^3-3*99*56*43 = 0

Like? Yes (2) | No   

RajiniRaja S   13 years AGO

=>((99^3)-(56^3)-(43^3))-(3*99*56*43)
=>(970299-175616-79507)-(715176)
=>(715176)-(715176)=0

Like? Yes (2) | No   

Balakumaran N.A   13 years AGO

970299-175616-79507-(715176)= 0 is the answer...

Like? Yes (2) | No (1)  

dharmaveer   13 years AGO

99^3-56^3-43^3-3*99*56*43
above equation is equals ZERO.
970299-175616-79507-715176 = 0

so, option 10 is correct.

Like? Yes (2) | No (1)  

sowmya   13 years AGO

answer is zero.

Like? Yes (2) | No (1)  

dharmil   13 years AGO

the answer is ZERO(0).
970299-970299

Like? Yes (1) | No   

Sneha Latha M   13 years AGO

99^3-56^3-43^3-3*99*56*43 = 970299-(175616+79507+715176) = 970299-970299 = 0
which is not exists in the given options(1 to 9) so the answer is option 10.

Like? Yes (1) | No (1)  

Datla Kanthi   13 years AGO

99^3-56^3-43^3-3*99*56*43= 0
so option is 10

Like? Yes (1) | No (1)