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 get b/2=10/2=5

3. Square the result to find the constant term needed to complete the square: 5=25

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

Final Answer

x2+10*x+25=(x+5)2

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