又有4道數學題唔識做呀><
pls~help me!
Q1.解下列方程
6x^2 (x-2) = 5x + x^2
(x-1)^2 = k^2 (x+k)
Q2.設n為正整數. 若(5 + x^2)^n 按x的升冪序展式中第3頂的係數為9375, 試找出n的值,
Q3.證明 (n-1)C(r-1) + (n-1)C(r) = nCr
註: (n-1)C(r-1) = (n-1)! / (n-1 - r-1)!(r-1)!
Q4.化簡 (n+1)C(3) - (n-1)C(3)
註: (n+1)C(3) = (n+1)! / (n+1 - 3)!(3)!