Question

using suitable identity solve the following 106cube
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Answer 1

Step-by-step explanation:

( 106 )^3 = ( 100 + 6 )^3

using identity ( a + b )^3 = a^3 + b^3 + 3a^2b + 3ab^2

= 100^3 + 6^3 + 3 ( 100)^2(6) + 3 (100)(6)^2

= 1000000 + 216 + 3(10000)(6) + 3(100)(36)

=1000000 + 216 + 180000 + 10800

= 11,91,016