Question 490819


{{{(x-1)(x^2-2x-3)}}} Start with the given expression.



{{{x(x^2-2x-3)-1(x^2-2x-3)}}} Expand.



{{{(x)*(x^2)+(x)*(-2x)+(x)*(-3)+(-1)*(x^2)+(-1)*(-2x)+(-1)*(-3)}}} Distribute.



{{{x^3-2*x^2-3*x-x^2+2*x+3}}} Multiply.



{{{x^3-3*x^2-x+3}}} Now combine like terms.



So {{{(x-1)(x^2-2x-3)}}} expands to {{{x^3-3*x^2-x+3}}}.



In other words, {{{(x-1)(x^2-2x-3)=x^3-3x^2-x+3}}}.