To solve the expression 25y2−10y+1, we can identify it as a quadratic expression. The goal is to factor it, if possible. This expression is a perfect square trinomial, which can be factored into the square of a binomial. We will use the formula (ay+b)2=a2y2+2aby+b2 to factor the expression.
Step 1: Identify the Expression
We start with the quadratic expression 25y2−10y+1.
Step 2: Factor the Expression
To factor the expression, we recognize that it is a perfect square trinomial. We can express it in the form (ay+b)2. In this case, we find that:
25y2−10y+1=(5y−1)2