Question 627158
{{{(2x-1)(-x^2-4x+3)}}}


{{{2x(-x^2-4x+3)-1(-x^2-4x+3)}}} Note: {{{(A+B)(C+D+E) = A(C+D+E)+B(C+D+E)}}} 


{{{2x(-x^2)+2x(-4x)+2x(3)-1(-x^2)-1(-4x)-1(3)}}}


{{{-2x^3-8x^2+6x+x^2+4x-3}}}


{{{-2x^3-7x^2+10x-3}}}


So {{{(2x-1)(-x^2-4x+3)}}} simplifies to {{{-2x^3-7x^2+10x-3}}}


In other words, {{{(2x-1)(-x^2-4x+3)=-2x^3-7x^2+10x-3}}} for all values of x


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