SOLUTION: [3+(4b-1)]^2 the answer is 16b^2+32b+16 i need to see the steps to understand how to get this.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: [3+(4b-1)]^2 the answer is 16b^2+32b+16 i need to see the steps to understand how to get this.       Log On


   

Question 318668: [3+(4b-1)]^2
the answer is 16b^2+32b+16
i need to see the steps to understand how to get this.
Found 2 solutions by Fombitz, solver91311:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the FOIL method,
%283%2B%284b-1%29%29%5E2=9%2B2%283%29%284b-1%29%2B%284b-1%29%5E2
%283%2B%284b-1%29%29%5E2=9%2B6%284b-1%29%2B%2816b%5E2-8b%2B1%29
%283%2B%284b-1%29%29%5E2=9%2B%2824b-6%29%2B%2816b%5E2-8b%2B1%29
%283%2B%284b-1%29%29%5E2=16b%5E2%2B16b%2B4%29
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Your answer can't be correct, when b=0, you should get %283-1%29%5E2=4 but instead you'd get 16.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!



Just use FOIL like any other binomial expansion -- it is just that one of the terms is a binomial itself.



First:

Outside:

Inside:

Last:

And you have to apply FOIL again:

First

Outside:

Inside:

Last:

Putting the second application of FOIL together:



and adding this to the First, Outside, and Inside of the first application of FOIL:



Then collect like terms:



The answer is definitely NOT





So it is not possible for your problem to have the same answer.

John