Question

Phân tích thành nhân tử

x³+2x²+2x+1

Answer 1

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

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

↔ \(\left(x-1\right)\left(x^2-x+1-2x\right)\)

↔ \(\left(x+1\right)\left(x^2+x+1\right)\)

Chúc bạn học tốt !!!

Answer 2

x³+2x²+2x+1

=x³+x²+x+x²+x+1

=x(x²+x+1)+(x²+x+1)

=(x+1)(x²+x+1)

 

Answer 3

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

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

Answer 4

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)