Questions: (a) 25y^2-10y+1

Solution Steps

To solve the expression \(25y^2 - 10y + 1\), 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 \((ay + b)^2 = a^2y^2 + 2aby + b^2\) to factor the expression.

We start with the quadratic expression \(25y^2 - 10y + 1\).

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: \[ 25y^2 - 10y + 1 = (5y - 1)^2 \]

Final Answer