Exercise
$9c^2+c+25$
Step-by-step Solution
Learn how to solve completing the square problems step by step online. Factor the expression 9c^2+c+25. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (9) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial c^2+\frac{1}{9}c+\frac{1}{324}. Solve the product 9\left(\left(c+\frac{1}{18}\right)^2+\frac{899}{324}\right).
Factor the expression 9c^2+c+25
Final answer to the exercise
$9\left(c+\frac{1}{18}\right)^2+\frac{899}{36}$