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Step-by-step Solution
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Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($25$) to all terms
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$25\left(x^2+\frac{2}{5}x+\frac{1}{25}\right)$
Learn how to solve polynomial factorization problems step by step online. Factor by completing the square 25x^2+10x+1. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (25) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{2}{5}xx+\frac{1}{25}. Subtract the values \frac{1}{25} and -\frac{1}{25}.