v) Show that 973
+ 143 is divisible by 111. (by using identity)
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0
Answer:
Show that (97)
3
+(14)
3
is divisible by111
From the question,
(97)
3
+(14)
3
We know that,a
3
+b
3
=(a+b)(a
2
−ab+b
2
)
So, (97+14)[(97)
2
−(97×14)+(14)
2
]
111[(97)
2
−(97×14)+(14)
2
]
Therefore, it is clear that the given expression is divisible by 111.
Step-by-step explanation:
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