SOLUTION: simplify (3x+1)^2-(2x+1)(x-5)+2 and factorise the simplified expression!! help please...!!

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Question 155685This question is from textbook New Concise Maths 2
: simplify (3x+1)^2-(2x+1)(x-5)+2 and factorise the simplified expression!! help please...!! This question is from textbook New Concise Maths 2

Found 2 solutions by Edwin McCravy, stanbon:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
simplify %283x%2B1%29%5E2-%282x%2B1%29%28x-5%29%2B2 and factorise the simplified expression!! help please...!!
%283x%2B1%29%5E2-%282x%2B1%29%28x-5%29%2B2
%283x%2B1%29%283x%2B1%29-%282x%2B1%29%28x-5%29%2B2
%289x%5E2%2B3x%2B3x%2B1%29-%282x%5E2-10x%2Bx-5%29%2B2
%289x%5E2%2B6x%2B1%29-%282x%5E2-9x-5%29%2B2
9x%5E2%2B6x%2B1-2x%5E2%2B9x%2B5%2B2
7x%5E2%2B15x%2B8
%287x%2B8%29%28x%2B1%29
Edwin

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
simplify (3x+1)^2-(2x+1)(x-5)+2 and factorise the simplified expression
-----------------------
= 9x^2+6x+1 -(2x^2-9x-5)+2
= 7x^2 + 15x + 8
Comment: This can only be factored using the quadratic formula.
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Cheers,
Stan H.