Question

Evaluate 108 using appropriate identity

Answer 1

Answer:

(108)3=1259712

Step-by-step explanation:

The number is written

108=(100+8)3

using cube indentity

(a+b)^3=a^3=b^3+3ab(a+b)

substitute the value

(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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