SOLUTION: How do I simplify (4a^3-8a^2+a^2)(4a)-1

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Question 30918This question is from textbook Algebra 2, Student Edition
: How do I simplify
(4a^3-8a^2+a^2)(4a)-1
This question is from textbook Algebra 2, Student Edition

Answer by acerX(62) About Me  (Show Source):
You can put this solution on YOUR website!
We know that all negative powers must be moved into the opposite part of the fraction. if it is in the numerator move it to the denominator, if it is in the denominator move it into the numerator.
Applying this rule gives us the expression
%284a%5E3-8a%5E2%2Ba%5E2%29%2F%284a%29
At this step we can cancel out an 'a' from each term giving us:
%284a%5E2-8a%2Ba%29%2F4 Combine all like terms ex: -8a +a=-7a
%284a%5E2-7a%29%2F4
This is a simplified form of the original equation. We can also divide each term by 4 to get:
a%5E2-%287%2F4%29a