How do you factor #25g^22-10g^11+1#? Algebra Polynomials and Factoring Factoring by Grouping 1 Answer Nghi N. May 6, 2016 #(5g^11 - 1)^2# Explanation: The expression is a perfect square. #25g^22 - 10g^11 + 1 = (5g^11 - 1)^2# Answer link Related questions What is Factoring by Grouping? How do you factor by grouping four-term polynomials and trinomials? Why does factoring polynomials by grouping work? How do you factor #2x+2y+ax+ay#? How do you factor #3x^2+8x+4# by using the grouping method? How do you factor #6x^2-9x+10x-15#? How do you group and factor #4jk-8j^2+5k-10j#? What are the factors of #2m^3+3m^2+4m+6#? How do you factor quadratics by using the grouping method? How do you factor #x^4-2x^3+5x-10#? See all questions in Factoring by Grouping Impact of this question 1238 views around the world You can reuse this answer Creative Commons License