Factor. 9p^2 + 30p + 25 ______

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Identify Coefficients: Identify the coefficients of the quadratic expression. The quadratic expression is 9p^2 + 30p + 25. Here, the coefficient of p^2 (a) is 9, the coefficient of p (b) is 30, and the constant term (c) is 25.Find Multiplying Numbers: Determine two numbers that multiply to ac (9 * 25 = 225) and add up to b (30). We need to find two numbers that multiply to 225 and add up to 30. The numbers 15 and 15 satisfy both conditions because 15 * 15 = 225 and 15 + 15 = 30.Write Middle Term: Write the middle term (30p) as the sum of two terms using the numbers found in the previous step. We can express 30p as 15p + 15p. So, the expression becomes 9p^2 + 15p + 15p + 25.Factor by Grouping: Factor by grouping. We group the terms as (9p^2 + 15p) + (15p + 25) and factor out the common factors from each group. From the first group, we can factor out 3p, and from the second group, we can factor out 5. This gives us 3p(3p + 5) + 5(3p + 5).Factor Common Binomial: Factor out the common binomial factor. Both terms have a common binomial factor of (3p + 5). Factoring this out, we get (3p + 5)(3p + 5) or (3p + 5)^2.

Factor. $\newline$ $9p^2 + 30p + 25$

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Factor.\newline9p2+30p+259p^2 + 30p + 259p2+30p+25

Factor. $\newline$ $9p^2 + 30p + 25$