SOLUTION: expressions that occur in calculus are given,factor completley each expression 2(x+3)(x-2)^3+(x+3)^2*3(x-2)^2 i have done most of the homwork having a real hard time on this on

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: expressions that occur in calculus are given,factor completley each expression 2(x+3)(x-2)^3+(x+3)^2*3(x-2)^2 i have done most of the homwork having a real hard time on this on      Log On


   



Question 399238: expressions that occur in calculus are given,factor completley each expression
2(x+3)(x-2)^3+(x+3)^2*3(x-2)^2 i have done most of the homwork having a real hard time on this one

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
I can tell that this is used in calculus, since it is an application of the product rule to the function y+=+%28x%2B3%29%5E2%28x-2%29%5E3 and the expression given is equal to dy%2Fdx...but you'll learn later how to find the derivative, what a derivative is, and why you don't cancel the d's in dy%2Fdx :)

You can factor out %28x%2B3%29%28x-2%29%5E2 to obtain

%28%28x%2B3%29%28x-2%29%5E2%29%282%28x-2%29+%2B+3%28x%2B3%29%29

=%28%28x%2B3%29%28x-2%29%5E2%29%285x+%2B+5%29