Question

Evaluate (102)³ by using suitable identify

Answer 1

$102 {}^{3}$
$= (100 + 3) {}^{3}$
$(100) {}^{3} + (2) {}^{3} + 3 \times 100 \times 2 \times (100 + 2)$
On solving we get
$(102) {}^{3} = 1061208$

Answer 2

Answer :


Using identity, answer is 1061208


Step-by-step explanation :


( 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.