Question

evaluate 108 to the power 3 by suitable identity using​

Answer 1

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Answer 2

$(108)^3=1259712$

Step-by-step explanation:

To find : Evaluate 108 to the power 3 by suitable identity ?

Solution :

The number is written as

$108^3=(100+8)^3$

Using cubic identity, (a+b)^3=a^3+b^3+3ab(a+b)

Here, a=100 and b=8

Substitute the values,

$(100+8)^3=(100)^3+(8)^3+3(100)(8)(100+8)\\\\(108)^3=1000000+512+2400(108)\\\\(108)^3=1000000+512+259200\\\\(108)^3=1259712$

Therefore, $(108)^3=1259712$

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