SOLUTION: Use a special product formula to factor the perfect square trinomial. b2 + 18b + 81

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Question 42925This question is from textbook INTERMEDIATE ALGEBRA
: Use a special product formula to factor the perfect square trinomial.
b2 + 18b + 81
This question is from textbook INTERMEDIATE ALGEBRA

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
First, look at the standard equation: ax%5E2+%2B+bx+%2B+c
You need to find factors of ac that sum up to b
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b%5E2+%2B+18b+%2B+81 sum of factors of 81 to get 18? -> 9 + 9
b%5E2+%2B+9b+%2B+9b+%2B+81
%28b%5E2+%2B+9b%29+%2B+%289b+%2B+81%29
b%28b+%2B+9%29+%2B+9%28b+%2B+9%29
%28b+%2B+9%29%28b+%2B+9%29
%28b+%2B+9%29%5E2