SOLUTION: please help me to multiply and put in simplest form (b+4/2)^2 * (3/b+4)^3 (the teacher gave me a hint : (b+4)^2 is =/ b^2 +16) so confused!!!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: please help me to multiply and put in simplest form (b+4/2)^2 * (3/b+4)^3 (the teacher gave me a hint : (b+4)^2 is =/ b^2 +16) so confused!!!       Log On


   

Question 536799: please help me to multiply and put in simplest form
(b+4/2)^2 * (3/b+4)^3
(the teacher gave me a hint : (b+4)^2 is =/ b^2 +16) so confused!!!
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
To multiply (b+4)*(b+4) use FOIL - First times first, outside times outside, inside times inside, last times last.


But before doing that write out exactly what is here.


%28%28b%2B4%29%2F2%29%5E2+=+%28%28b%2B4%29%28b%2B4%29%29%2F%282%2A2%29


%283%2F%28b%2B4%29%29%5E3+=+%283%2A3%2A3%29%2F%28b%2B4%29%28b%2B4%29%28b%2B4%29



Notice that two of the (b+4)'s in the denominator cancel with the two (b+4)'s in the numerator.


27%2F4%28b%2B4%29


Check by setting b to something (try b=0). Check it in the original equation and in the answer. Don't use b=-4, because the expression is undefined when b=-4.


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