Question

Phân tích đa thức thành nhân tử :
\(x^{12}-3x^6+1\)

Answer 1

\(x^{12}-3x^6+1=\left(x^{12}+x^9-x^6\right)-\left(x^9-x^3+x^6\right)-\left(x^3-1+x^6\right)=x^6\left(x^6+x^3-1\right)-x^3\left(x^6+x^3-1\right)-\left(x^6+x^3-1\right)\)

\(=\left(x^6+x^3-1\right)\left(x^6-x^3-1\right)\)

Answer 2

x¹²-2x⁶+1-x⁶

=(x⁶-1)²-x⁶

= (x⁶-1-x³)(x⁶-1+x³)

Answer 3

\(x^{12}-3x^6+1=\left[\left(x^6\right)^2-2x^6+1\right]-x^6=\left(x^6-1\right)^2-\left(x^3\right)^2=\left(x^6-1-x^3\right)\left(x^6-1+x^3\right)\)