Question

use the formula to find the values :102cube​

Answer 1

Answer:

Using identity, answer is 1061208

( 102 )³

It 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

Hence, the required answer is 1061208

Step-by-step explanation:

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Answer 2

Answer:

${(102)}^{3}$

${(x + y)}^{3} = {x}^{3} + {y}^{3} + 3 {x}^{2} y + 3x {y}^{2}$

${(100 + 2)}^{3}$

$= {(100)}^{3} + {(2)}^{3} + 3 {(100)}^{2} (2) + 3(100) {(2)}^{2}$

$= 1000000 + 8 + 60000 + 1200$

$= 1061208$

Step-by-step explanation:

Hope it helps you out......