Factor 25x^2+60x+36

Problem

25*x2+60*x+36

Solution

1. Identify the structure of the expression as a potential perfect square trinomial of the form a2+2*a*b+b2

2. Determine the square root of the first term 25*x2 which is 5*x

3. Determine the square root of the last term 36 which is 6

4. Verify the middle term by calculating 2*a*b which is 2(5x)(6) = 60x$.

5. Apply the formula for a perfect square trinomial (a+b)2

Final Answer

25*x2+60*x+36=(5*x+6)2

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