What is the standard form of #y= 2(x-3)^3-x#? Algebra Polynomials and Factoring Polynomials in Standard Form 1 Answer Gerardina C. Jul 25, 2016 #y=2x^3-18x^2+53x-54# Explanation: Since #(a+b)^3=a^3+3a^2b+3ab^2+b^3#, you can write #y=2(x^3-9x^2+27x-27)-x# and then multiply: #y=2x^3-18x^2+54x-54-x# #y=2x^3-18x^2+53x-54# that's the standard form 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 1308 views around the world You can reuse this answer Creative Commons License