SSC MTS Model Paper 5

Question : 44 of 148

Marks: +1, -0

If a = 1005, b = 1009, c = 1012, then find the value of

{ a ^ { 3 } + b ^ { 3 } + c ^ { 3 } - 3 a b c } /{ ( a + b + c ) }

Solution:

{ { 1 } /{ 2 } ( a + b + c ) [ ( a - b ) ^ { 2 } + ( b - c ) ^ { 2 } + ( c - a ) ^ { 2 } ] }/ { ( a + b + c ) }

{ 1 } /{ 2 } [ ( - 4 ) ^ { 2 } + ( - 3 ) ^ { 2 } + ( 7 ) ^ { 2 } ] = { 1 } /{ 2 } ×74 = 37

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