Question

Как разложить (х-1)^4

Answer 1

$(x-1)^4=((x-1)^2)^2=(x^2-2x+1)^2=x^4-4x^3+6x^2-4x+1$

Answer 2

$(x-1) ^{4} =(x-1) ^{2}*(x-1) ^{2}=( x^{2} +1-2x)( x^{2} +1-2x)= \\ \\ = x^{4} + x^{2} -2 x^{3} + x^{2} +1-2x-2 x^{3} -2x+4 x^{2} = \\ \\ = x^{5} -4 x^{3} +6 x^{2} -4x+1$