Question

determinar a forma mais simples de escrever: (x-1).(x+1)+3.(x-1).(x-1)+3.(x-1)+1=

Answer 1

$x^2-1+3(x-1)^2+3(x-1)+1\\x^2+3(x-1)^2+3(x-1)\\x^2+(x-1)(3(x-1)+3)\\x^2+x-1(3x-3+3)\\x^2+x-1(3x)\\x^2+x-3x\\x^2-2x\\x(x-2)$