Question

47*47*47+35*35*35+ 26*26*26 -47*35*78)/(47*47+35*35+26*26- 47*35- 35*26-47*26) = ?​

Answer 1

Answer:

5327(72793(22) I hope am I right

Answer 2

Answer:

$\huge{\boxed{\rm{\red{answer=108}}}}$

Step-by-step explanation:

Given expression :-

47*47*47+35*35*35+ 26*26*26 -47*35*78)

/(47*47+35*35+26*26- 47*35- 35*26-47*26)

It can be written as

(47)³+(35)³+(26)³-3(47)(35)(26)

/(47)²+(35)²+(26)²-(47)(35)-(35)(26)-(47)(26)

This is in the form of

(a³+b³+c³-3abc)/(a²+b²+c²-ab-bc-ca)

Here a=47 ; b=35;c=26

we know that:-

a³+b³+c³-3abc =(a+b+c)(a²+b²+c²-ab-bc-ca)

=>a+b+c=(a³+b³+c³-3abc)/(a²+b²+c²-ab-bc-ca)

=>47)³+(35)³+(26)³-3(47)(35)(26)

/(47)²+(35)²+(26)²-(47)(35)-(35)(26)-(47)(26)

=>47+35+26

=>108