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msc8127
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Homework Statement
Find the derivative of the function: f(x) = x^2((x-2)^4)
Homework Equations
f`(x) = (u)(y`) + (u`)(y)
The Attempt at a Solution
Via the product rule I got [x^2(4(x-2)^3)] + [(2x)(x-2)^4]
the book then goes on to give the solution as 2x(x-3)^3 * (3x-2)
I'm not seeing how the simplification was done.
Thanks for any help you can give