Question 150392
{{{(5x^3-3x^2-6) (2x^3-6x^2) }}} Start with the given expression.



{{{(2x^3-6x^2)(5x^3-3x^2-6)  }}} Rearrange the terms.



{{{2x^3(5x^3-3x^2-6)-6x^2(5x^3-3x^2-6)}}} Expand. Remember, {{{(a+b)(c+d+e)=a(c+d+e)+b(c+d+e)}}}



{{{(2x^3)*(5x^3)+(2x^3)*(-3x^2)+(2x^3)*(-6)+(-6x^2)*(5x^3)+(-6x^2)*(-3x^2)+(-6x^2)*(-6)}}} Distribute.



{{{10*x^6-6*x^5-12*x^3-30*x^5+18*x^4+36*x^2}}} Multiply.



{{{10*x^6-36*x^5+18*x^4-12*x^3+36*x^2}}} Now combine like terms.



 So {{{(5x^3-3x^2-6) (2x^3-6x^2)}}} expands to {{{10*x^6-36*x^5+18*x^4-12*x^3+36*x^2}}}.



In other words, {{{(5x^3-3x^2-6) (2x^3-6x^2)=10*x^6-36*x^5+18*x^4-12*x^3+36*x^2}}}.