Exercise
$49x^2+14x-1$
Step-by-step Solution
Learn how to solve simplification of algebraic expressions problems step by step online. Factor the expression 49x^2+14x+-1. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (49) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{2}{7}x+\frac{1}{49}. Combine fractions with common denominator 49.
Factor the expression 49x^2+14x+-1
Final answer to the exercise
$-2+49\left(x+\frac{1}{7}\right)^2$