Question

Expand this equation: (x-1)^4

Answer 1

Answer:

Step-by-step explanation:

(x+a)^n=nc0 x^n+nc1x^{n-1}a+nc2 x^{n-2} a^2+...+ncn a^n

$(x-1)^4=4c0x^4+4c1 x^3 (-1)+4c2 x^2 (-1)^2+4c3 x(-1)^3+4c4 (-1)^4\\4c0=1\\4c1=\frac{4}{1}=4\\4c2=\frac{4*3}{2*1}=6\\4c3=\frac{4*3*2}{3*2*1}=4\\4c4=\frac{4*3*2*1}{4*3*2*1}=1\\(x-1)^4=x^4-4x^3+6x^2-4x+1$