How do you factor #16x^4+40x^2y^2+25y^4#? Algebra Polynomials and Factoring Monomial Factors of Polynomials 1 Answer Konstantinos Michailidis Sep 25, 2015 Refer to explanation Explanation: It is #16x^4+40x^2y^2+25y^4=(4x^2)^2+2*(4x^2)(5y^2)+(5y^2)^2= (4x^2+5y^2)^2# Answer link Related questions What are Monomial Factors of Polynomials? How do you factor polynomials by finding the greatest common factor? How can a factoring problem be checked? How do you find the greatest common factors of variable expressions? How do you factor #3a+9b+6#? What is the greatest common factor of #a^3-3a^2+4a#? How do you factor #12xy+24xy^2+36xy^3#? How do you find the greatest common factor of #45y^{12}+30y^{10}#? How do you factor #92x^10y^4 - 54x^12y^9#? How do you factor #4x^2+x#? See all questions in Monomial Factors of Polynomials Impact of this question 2342 views around the world You can reuse this answer Creative Commons License