Question 158240
Is the expression {{{(2x^2+3)(5x^2-6x-3)}}} ??



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



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



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



{{{10*x^4-12*x^3-6*x^2+15*x^2-18*x-9}}} Multiply.



{{{10*x^4-12*x^3+9*x^2-18*x-9}}} Now combine like terms.



So {{{(2x^2+3)(5x^2-6x-3)}}} expands to {{{10*x^4-12*x^3+9*x^2-18*x-9}}}.



In other words, {{{(2x^2+3)(5x^2-6x-3)=10*x^4-12*x^3+9*x^2-18*x-9}}}.