Factor. d^2 - 10d + 25 ______

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Check Perfect Square Trinomial: Determine if the quadratic can be factored using the perfect square trinomial formula. A perfect square trinomial is in the form (a^2 ± 2ab + b^2) which factors to (a ± b)^2. The given quadratic is d^2 - 10d + 25. We need to check if the first term (d^2) is a perfect square, the last term (25) is a perfect square, and if the middle term (-10d) is twice the product of the square roots of the first and last terms.Identify Square Roots: Identify the square roots of the first and last terms. The square root of d^2 is d, and the square root of 25 is 5. Now, check if the middle term (-10d) is equal to 2 times the product of d and 5. 2 * d * 5 = 10d, which matches the middle term except for the sign, which is negative in the given quadratic.Write as Perfect Square Trinomial: Write the quadratic as a perfect square trinomial. Since the middle term is negative, we use the formula (a - b)^2 = a^2 - 2ab + b^2. Here, a is d and b is 5, so the quadratic d^2 - 10d + 25 can be written as (d - 5)^2.Factor Quadratic Expression: Factor the quadratic expression. The factored form of d^2 - 10d + 25 is (d - 5)(d - 5) or simply (d - 5)^2.

Factor. $\newline$ $d^2 - 10d + 25$

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Factor.\newlined2−10d+25d^2 - 10d + 25d2−10d+25

Factor. $\newline$ $d^2 - 10d + 25$