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

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Check Pattern: Determine if the quadratic expression is a perfect square trinomial. A perfect square trinomial is in the form (a + b)^2 = a^2 + 2ab + b^2. We need to check if 16s^2 + 40s + 25 fits this pattern. 16s^2 is a perfect square, as (4s)^2 = 16s^2. 25 is a perfect square, as 5^2 = 25. The middle term, 40s, should be twice the product of the square roots of the first and last terms if the expression is a perfect square trinomial. 2 * 4s * 5 = 40s, which matches the middle term. So, the expression is a perfect square trinomial.Write as Binomial: Write the expression as a square of a binomial. Since we have identified that 16s^2 + 40s + 25 is a perfect square trinomial, it can be written as the square of a binomial. The square root of 16s^2 is 4s, and the square root of 25 is 5. The expression can be written as (4s + 5)^2.Verify Factored Form: Check the factored form for any possible errors. To verify, we can expand (4s + 5)^2 to ensure it gives us the original expression. (4s + 5)(4s + 5) = 16s^2 + 20s + 20s + 25 = 16s^2 + 40s + 25. The expanded form matches the original expression, confirming that the factoring is correct.

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

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Factor.\newline16s2+40s+2516s^2 + 40s + 2516s2+40s+25

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