Factor. d^2 - 8d + 15 ______

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Identify Form of Quadratic Trinomial: Identify the form of the quadratic trinomial. The expression d^2 - 8d + 15 represents the form a^2 - 2ab + b^2 or a^2 - (sum of roots) * a + (product of roots).Find Multiplying and Adding Numbers: Look for two numbers that multiply to give the constant term (15) and add up to give the coefficient of the middle term (-8). The numbers that satisfy these conditions are -3 and -5 because (-3) * (-5) = 15 and (-3) + (-5) = -8.Rewrite Using Found Numbers: Rewrite the quadratic expression using the two numbers found. The expression d^2 - 8d + 15 can be rewritten as d^2 - 3d - 5d + 15.Factor by Grouping: Factor by grouping. Group the terms to factor out common factors: (d^2 - 3d) - (5d - 15).Factor Out Common Factors: Factor out the common factors from each group. From the first group (d^2 - 3d), factor out d to get d(d - 3). From the second group -(5d - 15), factor out -5 to get -5(d - 3).Combine Factored Groups: Combine the factored groups since they have a common factor (d - 3). The expression becomes (d - 3)(d - 5).Write Final Factored Form: Write the final factored form of the expression d^2 - 8d + 15. The factored form is (d - 3)(d - 5).

Factor. $\newline$ $d^2 - 8d + 15$

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Factor.\newlined2−8d+15d^2 - 8d + 15d2−8d+15

Factor. $\newline$ $d^2 - 8d + 15$