How do you factor the expression #8x^3+ 1#? Algebra Polynomials and Factoring Factoring Completely 1 Answer Ratnesh Bhosale Jan 21, 2016 #2x + 1# and #4x^2 - 2x + 1# Explanation: #8x^3 + 1 # #(2x)^3 + 1^3 # #(2x + 1)# #(4x^2 - 2x + 1)# -------------{ #(a+b)(a^2 - ab + b^2)# } 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^2-8#? Which method do you use to factor #3x(x-1)+4(x-1) #? What are the factors of #12x^3+12x^2+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^2-75# completely? How do you factor #x^6-26x^3-27#? How do you factor #100x^2+180x+81#? See all questions in Factoring Completely Impact of this question 975 views around the world You can reuse this answer Creative Commons License