SOLUTION: Could someone please explain this? Thank You!! Find the product: 3y^2(y^4-y^3+2y^2-7y+4)

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Question 383097: Could someone please explain this? Thank You!!
Find the product: 3y^2(y^4-y^3+2y^2-7y+4)

Answer by Jk22(389) About Me  (Show Source):
You can put this solution on YOUR website!
3y^2 (y^4-y^3+2y^2-7y+4) | first we distribute the factor outside the () 3y^2 over every term in the () :

3y^2y^4 - 3y^2y^3 + 3y^2*2y^2-3y^3*7y + 3y^2*4 | use the rule y^a*y^b=y^(a+b)

3y^6 - 6y^5 + 6y^4 -9y^4 + 12y^2