find the cube of 102 using (a+b)³=a³-3a²b+3ab²-b³
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Answered by
3
Answer:
1061208
Step-by-step explanation:
(102 )³ can be written as (100 + 2)³
Using identity here ;
( a + b )³ = a³ + b³ + 3ab ( a + b )
⇒ (100 + 2)³
⇒ (100)³ + (2)³ + 3 × 100 × 2 (100 + 2)
⇒ 1000000 + 8 + 600 ( 102 )
⇒ 1000000 + 8 + 61200
⇒ 1061208
Therefore the answer is 1061208.
Answered by
1
1061208
Step-by-step explanation:
(102 )³ can be written as (100 + 2)³
Using identity here ;
( a + b )³ = a³ + b³ + 3ab ( a + b )
⇒ (100 + 2)³
⇒ (100)³ + (2)³ + 3 × 100 × 2 (100 + 2)
⇒ 1000000 + 8 + 600 ( 102 )
⇒ 1000000 + 8 + 61200
⇒ 1061208
Therefore the answer is 1061208.
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