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If f(n)=- | array ccc n^2 & (n+1)^2 & (n+2)^2 (n+1)^2 & (n+2)^2 & (n+3)^2 (n+2)^2 & (n+3)^2 & (n+4)^2 array | then find the value of f(1) f(2) f(3) .

Correct answer

8

Step-by-step solution

f( n )=- | array ccc n ^2 & ( n +1)^2 & ( n +2)^2 ( n +1)^2 & ( n +2)^2 & ( n +3)^2 ( n +2)^2 & ( n +3)^2 & ( n +4)^2 array | aligned C ₁ & C₁- C ₂, C ₂ C ₂- C ₃ & =- | array lll 2 n +1 & 2 n +3 & ( n +2)^2 2 n +3 & 2 n +5 & ( n +3)^2 2 n +5 & 2 n +7 & ( n +4)^2 array | aligned aligned C ₁ & C ₁- C ₂ & =2 | array lll 1 & 2 n +3 & ( n +2)^2 1 & 2 n +5 & ( n +3)^2 1 & 2 n +7 & ( n +4)^2 array | aligned aligned R ₂ & R ₂- R ₁, R ₃ R ₃- R ₂ & =2 | array ccc 1 & 2 n +3 & ( n +2)^2 0 & 2 & 2 n +5 0 & 2 & 2 n +7 array | a

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