\(4x^2-4x-24\)
\(=\left(4x^2-12x\right)+\left(8x-24\right)\)
\(=4x\left(x-3\right)+8\left(x-3\right)\)
\(=\left(4x+8\right)\left(x-3\right)\)
\(=4\left(x+2\right)\left(x-3\right)\)
4x^2 -4x -24 = 4 (x^2-x-6) =4 (x ^2 -x -4 -2 )= 4[ (x^2 -4) - (x +2) ] = 4[ ( x+2 )(x - 2) - (x + 2) = ( x+2) (x-2-1) = (x+2)(x-3)