Factor. 4w^2 + 20w + 25 ______

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Identify Coefficients: Identify the coefficients of the quadratic expression. The quadratic expression is 4w^2 + 20w + 25. Here, the coefficient of w^2 (a) is 4, the coefficient of w (b) is 20, and the constant term (c) is 25.Check Perfect Square: Determine if the quadratic is a perfect square trinomial. A perfect square trinomial is of the form (aw + b)^2 = a^2w^2 + 2abw + b^2. We need to check if 4w^2 + 20w + 25 fits this pattern.Find Square Roots: Find the square root of the first and last terms. The square root of 4w^2 is 2w, and the square root of 25 is 5. We will check if the middle term, 20w, is equal to 2 times the product of 2w and 5.Verify Middle Term: Verify the middle term. Calculate 2 * (2w) * 5 to see if it equals the middle term, 20w. 2 * 2w * 5 = 4w * 5 = 20w Since the middle term of the quadratic expression is indeed 20w, the expression is a perfect square trinomial.Write Factored Form: Write the factored form of the quadratic expression. Since the quadratic is a perfect square trinomial, it can be factored as (2w + 5)^2.

Factor. $\newline$ $4w^2 + 20w + 25$

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Factor.\newline4w2+20w+254w^2 + 20w + 254w2+20w+25

Factor. $\newline$ $4w^2 + 20w + 25$