Exercise
$25x^2-8x+64$
Step-by-step Solution
Learn how to solve completing the square problems step by step online. Factor the expression 25x^2-8x+64. 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{8}{25}x+\frac{16}{625}. Multiply the fraction and term in - \frac{4}{25}.
Factor the expression 25x^2-8x+64
Final answer to the exercise
$25\left(x-\frac{4}{25}\right)^2+\frac{1584}{25}$