Question 111851
{{{(-5a^2)(a^2-6a+7)}}} Start with the given expression



{{{(-5a^2)*(a^2)+(-5a^2)*(-6a)+(-5a^2)*(7)}}} Distribute {{{-5a^2}}} to {{{a^2-6a+7}}}



{{{-5a^4+30a^3-35a^2}}} Multiply



So {{{(-5a^2)(a^2-6a+7)}}} distributes to {{{-5a^4+30a^3-35a^2}}}.


In other words, {{{(-5a^2)(a^2-6a+7)=-5a^4+30a^3-35a^2}}}