Evaluation by using sutabil identity:(997)³?
kabeershah:
u can write the above question in this manner (1000_3) cube and can use the identity (a-b)cube
ya that only even I told know
Answers
Answered by
22
using 1000 -3the whole cube u can solvea-b the whole cube is a cube -bcube-3a square b plus 3ab square hope u understand
Rong
how man
Answered by
69
Solution :
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Given :
To find the value of 997³ using suitable identity
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Suitable identity : (a - b)³ = a³ - 3ab(a - b) - b³
a = 1,000
b = 3,..
⇒ (1,000 - 3)³ = (1,000)³ - 3(1,000)(3)(1,000 - 3) - (3)³
⇒ (1,000 - 3)³ = 1,000,000,000 - 9,000(997) - 27
⇒ (1,000 - 3)³ = 1,000,000,000 - 8,973,000 - 27
⇒ (1,000 - 3)³ = 991,027,000 - 27
⇒ (997)³ = 991,026,973
_____________________________________________________________
Hope it Helps !!
⇒ Mark as Brainliest,.
_____________________________________________________________
Given :
To find the value of 997³ using suitable identity
_____________________________________________________________
Suitable identity : (a - b)³ = a³ - 3ab(a - b) - b³
a = 1,000
b = 3,..
⇒ (1,000 - 3)³ = (1,000)³ - 3(1,000)(3)(1,000 - 3) - (3)³
⇒ (1,000 - 3)³ = 1,000,000,000 - 9,000(997) - 27
⇒ (1,000 - 3)³ = 1,000,000,000 - 8,973,000 - 27
⇒ (1,000 - 3)³ = 991,027,000 - 27
⇒ (997)³ = 991,026,973
_____________________________________________________________
Hope it Helps !!
⇒ Mark as Brainliest,.
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