Answer: (3t-4) (3t+2) (3t-2)
Explanation:
27t^3 - 36t^2 - 12t + 16 =
Step 1. Regroup terms into two proportional groups : (27t^3 - 36t^2)+(12t + 16)
Step 2. Factor the expression. 9t^2(3t-4) + (-12t+16)
Step 3. Factor the expression. 9t^2(3t-4) -4(3t-4)
Step 4. Factor the expression. (3t-4) (9t^2-4)
Step 5. Rewrite the expression into the form of a^2 - b^2. (3t-4) ((3t))^2 - 2^2
Step 6. Factor the expression using a^2 - b^2 = (a+b) (a-b) : (3t-4) (3t+2) (3t-2)