Factor. 25f^2 + 40f + 16 ______

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Identify Form: Identify the form of the quadratic trinomial. The given expression 25f^2 + 40f + 16 is a quadratic trinomial in the form of af^2 + bf + c.Perfect Square Trinomial: Look for a perfect square trinomial. A perfect square trinomial is in the form (af + b)^2 = af^2 + 2abf + b^2. We need to check if the given trinomial fits this pattern.Rewrite 25f^2: Rewrite 25f^2 in the form of (af)^2. Since 5^2 = 25, we can write 25f^2 as (5f)^2.Rewrite 16: Rewrite 16 in the form of b^2. Since 4^2 = 16, we can write 16 as 4^2.Determine a and b: Determine the values of a and b. From the previous steps, we have: a = 5f b = 4Check Middle Term: Check if the middle term fits the pattern 2abf. Calculate 2ab to see if it equals the coefficient of the middle term (40). 2 * 5f * 4 = 40f The middle term of the given trinomial is indeed 40f, which matches 2abf.Write Factored Form: Write the factored form of the expression 25f^2 + 40f + 16. Since the trinomial fits the pattern of a perfect square, we can write it as (af + b)^2. The factored form is (5f + 4)^2.

Factor. $\newline$ $25f^2 + 40f + 16$

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Factor.\newline25f2+40f+1625f^2 + 40f + 1625f2+40f+16

Factor. $\newline$ $25f^2 + 40f + 16$