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 2606 views around the world You can reuse this answer Creative Commons License