a) \(6x^2+15x+6\)
\(=\left(6x^2+12x\right)+\left(3x+6\right)\)
\(=6x\left(x+2\right)+3\left(x+2\right)\)
\(=3\left(x+2\right)\left(2x+1\right)\)
b) \(6x^2-13x+6\)
\(=6x^2-9x-4x+6\)
\(=3x\left(2x-3\right)-2\left(2x-3\right)\)
\(=\left(2x-3\right)\left(3x-2\right)\)
c) \(8x^2+2x-3\)
\(=8x^2-4x+6x-3\)
\(=4x\left(2x-1\right)+3\left(2x-1\right)\)
\(=\left(2x-1\right)\left(4x+3\right)\)
a) \(6x^2+15x+6=6x^2+3x+12x+6=3x\left(2x+1\right)+6.\left(2x+1\right)=\left(3x+6\right).\left(2x+1\right)\)
b) \(6x^2-13x+6=6x^2-x-12x+6=x.\left(6x-1\right)-2.\left(6x-3\right)\)
a,=> 6x^2 +12x+3x +6
<=> 6x(x+ 2) + 3(x+2)
<=> 3(x+2)(2x+1)
b, => 6x^2 - 4x -9x +6
<=> 2x(3x-2)- 3(3x-2)
<=> (3x-2)(2x-3)