Question 82839
{{{8x^3+6x^2-12x-9)}}}
{{{(8x^3+6x^2)+ (-12x+9)}}}
{{{(2x^2)(8x^3/2x^2+6x^2/2x^2)+ (-3)(-12x/-3+9/-3)}}} [factor out the least common multiply amongst each factor and divide each term by it]
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{{{(2x^2)(4x+3)+ (-3)(4x-3)}}} [this re-grouping doesn't work becasue each group has a different factor]

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Try to re-arrange the terms, re-group and factor again:
{{{8x^3+6x^2-12x-9)}}}
 {{{(8x^3-12x)+(6x^2-9)}}}
 {{{(4x)(8x^3/4x-12x/4x)+((3)6x^2/3-9/3))}}}
 {{{(4x)(2x-3)+((3)2x-3))}}}
{{{(4x+3)(2x-3))}}} [re-factor again; this factoring works because the groups now have a common factor (2x-3)]