Question

Giúp mình D vs E

Answer 1

e: \(=x^3-3x^2+x^2-3x-2x+6\)

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

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

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

Answer 2

d, \(x^4-2x^3+2x-1\)

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

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

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

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

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

 

e, \(x^3-2x^2-5x+6\)

\(=x^3-x^2-x^2+x-6x+6\)

\(=x^2\times\left(x-1\right)-x\times\left(x-1\right)-6\left(x-1\right)\)

\(=\left(x-1\right)\times\left(x^2-x-6\right)\)

\(=\left(x-1\right)\times\left(x^2+2x-3x-6\right)\)

\(=\left(x-1\right)\times\left(x\times\left(x+2\right)-3\left(x+2\right)\right)\)

\(=\left(x-1\right)\times\left(x+2\right)\times\left(x-3\right)\)