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Can someone tell me how to work out this kind of question please

Can someone tell me how to work out this kind of question please-example-1

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Hello,


p^2-8p+a=(p+b)^2 ==\ \textgreater \ p^2-8p+a=p^2+2bp+b^2\\ 2b=-8==\textgreater b=-4\\ a=b^2==\textgreater a=(-4)^2=16
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