You can
put this solution on YOUR website!Well you just distribute the -5a^2. So lets break it into parts
-5a^2(-3a^4+2a^3+7)
=(-5a^2)(-3a^4)+(-5a^2)(2a^3)+(-5a^2)(7)
=(5*4)(a^2*a^4)+(-5*2)(a^2*a^3)+(-5*7)(a^2)
Now just a note where when the you are multiplying to exponents and the bases are the same you add the exponents. So this simplifies to
=(5*4)(a^2*a^4)+(-5*2)(a^2*a^3)+(-5*7)(a^2)
= 20a^(2+4)-10a^(2+3)-35a^2
= 20a^6-10a^5-35a^2
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