Question 631834
{{{5x^4(-3x^2+8x-1) }}}


{{{5x^4(-3x^2)+5x^4(8x)+5x^4(-1) }}}


{{{-15x^6+40x^5-5x^4 }}}


So {{{5x^4(-3x^2+8x-1) }}} distributes to {{{-15x^6+40x^5-5x^4 }}}


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


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


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


{{{2x^5-x^4+3x^2+2x^4-x^3+3x+2x^3-x^2+3}}}


{{{2x^5+x^4+x^3+2x^2+3x+3}}}


So the answer is {{{2x^5+x^4+x^3+2x^2+3x+3}}}


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