x=4 nên x+1=5
\(A=x^5\left(x+1\right)-x^4\left(x+1\right)+x^3\left(x+1\right)-x^2\left(x+1\right)+x\left(x+1\right)-1\)
\(=x^6+x^5-x^5-x^4+x^4+x^3-x^3-x^2+x^2+x-1\)
\(=x^6-1=4^6-1=4095\)
Vì x = 4 nên x + 1 = 5
A = (x+1)x5 - x4(x+1) + x3(x+1) - x2(x+1) + x(x+1) - 1
= x6 + x5 - x5 - x4 + x4 + x3 - x3 - x2 + x2 + 1 - 1
= x6 + 1 - 1
Thay x = 4 vào A ta có:
A= 46 + 1- 1
= 4096