Question

Phân tích đa thức thành nhân tử:

x³+2x²+2x+1

Answer 1

\(x^3+2x^2+2x+1\\ =\left(x^3+x^2\right)+\left(x^2+x\right)+\left(x+1\right)\\ =x^2\left(x+1\right)+x\left(x+1\right)+\left(x+1\right)\\ =\left(x+1\right)\left(x^2+x+1\right)\)

Answer 2

Ta có : x³ + 2x² + 2x +1

= ( x³ + x² ) + ( x² + x ) + ( x + 1 )

= x² . (x + 1 ) + x ( x + 1 ) + ( x + 1 )

= ( x + 1 ) . ( x² + x + 1 ) .