\(x^3+2x^2+2x+1\)
↔ \(\left(x^3+1\right)\)\(+\left(2x^2+2x\right)\)
↔ \(\left(x-1\right)\left(x^2-x+1-2x\right)\)
↔ \(\left(x+1\right)\left(x^2+x+1\right)\)
Chúc bạn học tốt !!!
x3+2x2+2x+1
=x3+x2+x+x2+x+1
=x(x2+x+1)+(x2+x+1)
=(x+1)(x2+x+1)
\(x^3+2x^2+2x+1=\left(x^3+x^2\right)+\left(x^2+2x+1\right)\)
\(=x^2\left(x+1\right)+\left(x+1\right)^2=\left(x+1\right)\left(x^2+x+1\right)\)
x3+2x2+2x+1
= (x3+1) + ( 2x2 +2x)
= (x+1)(x2-x+1) + 2x(x+1)
= (x+1)(x2-x+1+2x)
=(x+1)(x2+x+1)
