How do you factor 27-t^327−t3? Algebra Polynomials and Factoring Factoring Completely 1 Answer iceman Oct 9, 2015 (3-t)(9+3t+t^2)(3−t)(9+3t+t2) Explanation: 27-t^3=>27−t3⇒ use difference of cubes formula: a^3-b^3=(a-b)(a^2+ab+b^2)=>a3−b3=(a−b)(a2+ab+b2)⇒ so in this case we have: (3^3-t^3)=(3-t)(9+3t+t^2)(33−t3)=(3−t)(9+3t+t2) Answer link Related questions What is Factoring Completely? How do you know when you have completely factored a polynomial? Which methods of factoring do you use to factor completely? How do you factor completely 2x^2-82x2−8? Which method do you use to factor 3x(x-1)+4(x-1) 3x(x−1)+4(x−1)? What are the factors of 12x^3+12x^2+3x12x3+12x2+3x? How do you find the two numbers by using the factoring method, if one number is seven more than... How do you factor 12c^2-7512c2−75 completely? How do you factor x^6-26x^3-27x6−26x3−27? How do you factor 100x^2+180x+81100x2+180x+81? See all questions in Factoring Completely Impact of this question 2114 views around the world You can reuse this answer Creative Commons License