Question 129603
You have not said what is to be done with this problem! I can only assume that the given expression is to be factored, am I right?
Let's proceed.
Factor the expression:
{{{4x^3-6x^2-6x+9}}} Look at the first and last terms and see what their factors are:
{{{4x^3 = (2x^2)(2x)}}} or {{{(-2x^2)(-2x)}}} are possibilities.
{{{4x^3 = (4x^2)(x)}}} is another.
{{{9 = (3)(3)}}} or {{{(-3)(-3)}}} or {{{(1)(9)}}} or {{{(-1)(-9)}}}
Now you need to make an "educated guess"
Let's try:
{{{(2x^2-3)(2x-3)}}} as the factors.
Check, using FOIL:
{{{(2x^2-3)(2x-3) = 4x^2-6x^2-6x+9}}} Bingo!