perfect square expression

label Algebra
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w^2-14w+

Jun 21st, 2015

Thank you for the opportunity to help you with your question!

(a-b)^2 = a^2 -2ab + b^2  

compare with the expression 

w^2 -14w + ----         -------1

a^2 -2ab + b^2        ------------2

The last term is b^2 which is missing  in 1

Here a = w  and 

2ab = 14w => 2bw = 14w => 2b = 14 => b =7

So the last term is b^2 = 7^2 = 49

Perfect square expression will be w^2-14w+49

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 22nd, 2015

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