a) 4x3 - 13x2 + 9x - 18
= 4x3 - 12x2 - x2 + 3x + 6x - 18
= 4x2( x - 3) - x( x - 3) + 6( x - 3)
= ( x - 3)( 4x2 - x + 6)
b) - x3 - 6x2 + 6x + 1
= 6x( 1 - x) + 1 - x3
= 6x( 1 - x) + ( 1 - x )( x2 + x + 1)
= ( 1 - x)( x2 + 7x + 1)
c) x3 + 3x2 + 3x + 2
= x3 + 2x2 + x2 + 2x + x + 2
= x2( x + 2) + x( x + 2) + x + 2
= ( x + 2)( x2 + x + 1)
a) \(4x^3-13x^2+9x-18\)
\(=4x^3-12x^2-x^2+3x+6x-18\)
\(=4x^2\left(x-3\right)-x\left(x-3\right)+6\left(x-3\right)\)
\(=\left(x-3\right)\left(4x^2-x+6\right)\)
\(4x^3-13x^2+9x-18\) bn Đời về cơ bản là buồn...cười!!! làm r nên mk ko lm nx nha bn !
\(-x^3-6x^2+6x+1\)
\(=-\left(x^3-1\right)-\left(6x^2-6x\right)\)
\(=-\left(x-1\right)\left(x^2+x+1\right)-6x\left(x-1\right)\)
\(=-\left(x-1\right)\left(x^2+x+1+6x\right)\)
\(=-\left(x-1\right)\left(x^2+7x+1\right)\)
\(x^3+3x^2+3x+2\)
\(=x^3+x^2+2x^2+x+2x+2\)
\(=\left(x^3+2x^2\right)+\left(x^2+2x\right)+\left(x+2\right)\)
\(=x^2\left(x+2\right)+x\left(x+2\right)+\left(x+2\right)\)
\(=\left(x+2\right)\left(x^2+x+1\right)\)