<PRE><B>Question 319199</B>
{{{(4x-5)(x^2-4x+8)}}} Start with the given expression.



{{{4x(x^2-4x+8)-5(x^2-4x+8)}}} Expand.



{{{(4x)(x^2)+(4x)(-4x)+(4x)(8)+(-5)(x^2)+(-5)(-4x)+(-5)(8)}}} Distribute.



{{{4x^3-16x^2+32x-5x^2+20x-40}}} Multiply.



{{{4x^3-21x^2+52x-40}}} Now combine like terms.



So {{{(4x-5)(x^2-4x+8)}}} expands to {{{4x^3-21x^2+52x-40}}}.



In other words, {{{(4x-5)(x^2-4x+8)=4x^3-21x^2+52x-40}}}.</PRE>