Factor 25x^2-70x+49

Problem

25*x2−70*x+49

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 Let a=5*x

3. Determine the square root of the last term, 49 which is 7 Let b=7

4. Verify the middle term by calculating 2*a*b

2*(5*x)*(7)=70*x

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

(5*x−7)2

Final Answer

25*x2−70*x+49=(5*x−7)2

Want more problems? Check here!