1a. resolve (3x+2)/((x+1)(x^2+x+1)) into partial fraction.

(3x+2)/((x+1)(x^2+x+1)) / 3x+2/x^3+x^2+x

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

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step-by-step explanation:

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