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

(a) 25y^2-10y+1
Transcript text: (a) $25 y^{2}-10 y+1$
failed

Solution

failed
failed

Solution Steps

To solve the expression 25y210y+125y^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=a2y2+2aby+b2(ay + b)^2 = a^2y^2 + 2aby + b^2 to factor the expression.

Step 1: Identify the Expression

We start with the quadratic expression 25y210y+125y^2 - 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(ay + b)^2. In this case, we find that: 25y210y+1=(5y1)2 25y^2 - 10y + 1 = (5y - 1)^2

Final Answer

The factored form of the expression is (5y1)2\boxed{(5y - 1)^2}.

Was this solution helpful?
failed
Unhelpful
failed
Helpful