Question

evaluate using suitable identity 12^3 +(-17^3) + (-5^3)

Answer 1

Answer:

Step-by-step explanation:

= ( -13 )³ - 8³ + 21�

Let , ( a = -13 , b = -8 and c = 21 ).

Now,

= a + b + c

= -13 - 8 + 21

= -21 + 21

= 0.

So, a + b + c = 0.

Using identity , [ If ( a + b + c = 0 ),then a³ + b³ + c³ = 3abc ]

= 3 ( -13 ) (-8 ) 21

= 6,552.

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