Find the Perfect Square Trinomial x^2-10x

Problem

x2−10*x

Solution

1. Identify the coefficient of the linear term x which is b=−10

2. Divide the coefficient b by 2 to find the value needed for the binomial square: (−10)/2=−5

3. Square this result to find the constant term c required to complete the square: (−5)2=25

4. Add the constant term to the original expression to form the perfect square trinomial.

Final Answer

x2−10*x+25=(x−5)2

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