How do you factor #15m^3+12m^2-375m-300#? Algebra Polynomials and Factoring Factor Polynomials Using Special Products 1 Answer Nityananda Jun 3, 2017 3(5m+4)(m+5)(m-5) Explanation: Given, #15m^3+12m^2-375m-300# #rArr 3(5m^3+4m^2-125m-100)# #rArr 3[m^2(5m+4)-25(5m+4)]# #rArr 3(m^2-25)(5m+4)# #rArr 3(5m+4)[(m)^2-(5)^2]# #rArr 3 (5m+4)(m+5)(m-5)# [ Note : #a^2-b^2 = (a+b)(a-b)#] Answer link Related questions How do you factor special products of polynomials? How do you identify special products when factoring? How do you factor #x^3 -8#? What are the factors of #x^3y^6 – 64#? How do you know if #x^2 + 10x + 25# is a perfect square? How do you write #16x^2 – 48x + 36# as a perfect square trinomial? What is the difference of two squares method of factoring? How do you factor #16x^2-36# using the difference of squares? How do you factor #2x^4y^2-32#? How do you factor #x^2 - 27#? See all questions in Factor Polynomials Using Special Products Impact of this question 1914 views around the world You can reuse this answer Creative Commons License