How do you simplify (x-3)/(-x^3+3x^2)*(x^2+2x+1)? Algebra Rational Equations and Functions Multiplication of Rational Expressions 2 Answers VinÃcius Ferraz May 24, 2017 -1 - frac{2x + 1}{x^2} Explanation: frac{x - 3}{(-x + 3) x^2} * (x^2 + 2x + 1) = - frac{1}{x^2} * (x^2 + 2x + 1) = -1 + frac{-2x - 1}{x^2} Answer link Barney V. May 24, 2017 (-x^2-2x-1)/x^2 Explanation: (x-3)/(-x^3+3x^2)*x^2+2x+1 :.=cancel(x-3)^1/(-x^2cancel((x-3)^1))*x^2+2x+1 :.=1/(-x^2)*x^2+2x+1 :.=(x^2+2x+1)/-x^2 :.=((x^2+2x+1)/-x^2)*(-x^2)/-x^2 :.=(-x^2)/(-x^2)=1 :.=(cancel(-x^2)^color(blue)(-1)(x^2+2x+1))/cancel(x^4)^color(blue)(x^2) :.=(-1(x^2+2x+1))/x^2 :.=color(blue)((-x^2-2x-1)/x^2 Answer link Related questions What is Multiplication of Rational Expressions? How do you multiplying rational expressions? Is multiplication of rational expressions commutative? How do you multiply \frac{12x^2-x-6}{x^2-1} \cdot \frac{x^2+7x+6}{4x^2-27x+18}? How do you multiply and simplify to the lowest terms \frac{x^3}{2y^3} \cdot \frac{2y^2}{x}? How do you multiply \frac{5x^2+16x+3}{36x^2-25} \cdot (6x^2+5x)? How do you multiply and simplify the expression 2xy \cdot \frac{2y^2}{x^3}? How do you multiply (a^2-a-12)/(a^2-5a+4)*(a^2+2a-3)/(a^2+a-6)? How do you multiply (4(x+2))/(5x)*(6x^2)/(2x)? How do you multiply (30a^2)/(18b)*(6b)/(5a)? See all questions in Multiplication of Rational Expressions Impact of this question 1855 views around the world You can reuse this answer Creative Commons License