Evaluate using a suitable identity (997)cube
Answers
Answered by
43
Hi ,
**************************************
We know the algebraic identity:
( a - b )³ = a³ - b³ - 3ab( a - b )
****************************************
Here ,
997³
= ( 1000 - 3 )³
= 1000³ - 3³ - 3 × 1000×3(1000-3 )
= 1000000000-27-8973000
= 1000000000- 8973027
= 999999999 - 8973026
= 991026973
I hope this helps you.
: )
**************************************
We know the algebraic identity:
( a - b )³ = a³ - b³ - 3ab( a - b )
****************************************
Here ,
997³
= ( 1000 - 3 )³
= 1000³ - 3³ - 3 × 1000×3(1000-3 )
= 1000000000-27-8973000
= 1000000000- 8973027
= 999999999 - 8973026
= 991026973
I hope this helps you.
: )
Answered by
13
Answer:
(1000-3)^3
=1000^3-3^3×(1000-3)
=991026973
Step-by-step explanation:
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