Question

calcule o valor de n na equação: (n+10)!/(n+8)! + (n+9)!/(n+7)!

Answer 1

(n+10)!/(n+8)! + (n+9)!/(n+7)! =

(n+10)(n+9)(n+8)!/(n+8)! +

(n+9)(n+8)(n+7)!/(n+7)! =

(n+10)(n+9) + (n+9)(n+8) =

n²+19n+90 + n²+17n+72 =

2n² +36n + 162