Question 109599


{{{(4x+1)(2x^2+x+1)}}} Start with the given expression




{{{4x(2x^2+x+1)+1(2x^2+x+1)}}} Expand the expression. Remember for something like {{{(a+b)(c+d+e)}}} it expands to {{{a(c+d+e)+b(c+d+e)}}}



{{{(4x)*(2x^2)+(4x)*(x)+(4x)*(1)+(1)*(2x^2)+(1)*(x)+(1)*(1)}}} Distribute



{{{8x^3+4x^2+4x+2x^2+x+1}}} Multiply



{{{8x^3+6x^2+5x+1}}} Combine like terms




So {{{(4x+1)(2x^2+x+1)}}} expands and simplifies to {{{8x^3+6x^2+5x+1}}}.


In other words, {{{(4x+1)(2x^2+x+1)=8x^3+6x^2+5x+1}}}





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