4. Example #2 Factor: a 2 - (1/9) Step 1: Find the roots by setting the eqn.=0 Step 2: Solve for a. Step 3: Replace the solutions as the roots of x a 2 - (1/9) =0 a2=(1/9) a= +(1/3), -(1/3) [a+(1/3)][a-(1/3)]=0
5.
6. Factoring the sum or difference of two cubes The Formula: Example: 8x 3 + 27 = (2x)3 + (3)3 = (2x + 3) (4x 2 - 6x + 9) Because a=2x, b=3