`a^(3)-2a^(2)+1`

Multiply : x^(2)-2, x^(3)+2x^(2)+1

Multiply : x^(2)-2, x^(3) + 2x^(2)+1

Multiply : x^(2)-2, x^(3) + 2x^(2)+1

((1)/(2) . (2)/(2))/(1^(3))+((2)/(3) . (3)/(2))/(1^(3)+2^(3)) +((3)/(2) . (4)/(2))/(1^(3)+2^(3)+3^(3))+.. . . to n terms

value of 1+(1^(3)+2^(3))/(1+2)+(1^(3)+2^(3)+3^(3))/(1+2+3)+……+ (1^(3)+2^(3)+….15^(3))/(1+2+…+15)-(1)/(2)(1+2+….+15) is

value of 1+(1^(3)+2^(3))/(1+2)+(1^(3)+2^(3)+3^(3))/(1+2+3)+......+(1^(3)+2^(3)+....15^(3))/(1+2+...+15)-(1)/(2)(1+2+...+15)

Let H_(n)=1+(1)/(2)+(1)/(3)+ . . . . .+(1)/(n) , then the sum to n terms of the series (1^(2))/(1^(3))+(1^(2))/(1^(3))+(2^(2))/(2^(3))+(1^(2)+2^(2)+3^(2))/(1^(3)+2^(3)+3^(3))+ . . . , is

sum((1^(2) + 2^(2) +3^(2) + …. + n^(2))/(1+2+3+….+n))

Simplify ((3(2)/(3))^(2)-(2 (1)/(2)))/((4(3)/(4))^(2)-(3(1)/(3))^(2))+(3(2)/(3)-2(1)/(2))/(4(3)/(4)-3(1)/(3))