What is the standard form of #y= (x-x^2)(x+8) -(x+8)^3#? Algebra Polynomials and Factoring Polynomials in Standard Form 1 Answer centrobabbage · Stefan V. Aug 11, 2018 #-2x^3 - 31x^2 - 184x - 512# Explanation: #(x - x^2) (x + 8) - (x + 8)^3# #-(x + 8) [x^2 - x + (x + 8)^2]# #-(x + 8) (x^2 - x + x^2 + 16x + 64)# #-(x + 8) (2x^2 + 15x + 64)# #-2x^3 - 31x^2 - 184x - 512# Answer link Related questions What is a Polynomial? How do you rewrite a polynomial in standard form? How do you determine the degree of a polynomial? What is a coefficient of a term? Is #x^2+3x^{\frac{1}{2}}# a polynomial? How do you express #-16+5f^8-7f^3# in standard form? What is the degree of #16x^2y^3-3xy^5-2x^3y^2+2xy-7x^2y^3+2x^3y^2#? What is the degree of the polynomial #x^4-3x^3y^2+8x-12#? What is the difference between a monomial, binomial and polynomial? How do you write #y = 2/3x + 5# in standard form? See all questions in Polynomials in Standard Form Impact of this question 1538 views around the world You can reuse this answer Creative Commons License