Rewrite the expression as a product of four linear factors: (5x^(2)-9x)^(2)-16(5x^(2)-9x)+28 Answer:

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Rewrite the expression as a product of four linear factors:  (5x^(2)-9x)^(2)-16(5x^(2)-9x)+28 Answer:

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Identify Expression: Identify the given expression and recognize that it resembles a quadratic in form, where the variable part is (5x^2 - 9x). The expression is: (5x^2 - 9x)^2 - 16(5x^2 - 9x) + 28Set Substitution: Let's set a substitution to simplify the expression. Let u = 5x^2 - 9x. The expression then becomes: u^2 - 16u + 28 This is a quadratic equation in terms of u.Factor Quadratic Equation: Factor the quadratic equation u^2 - 16u + 28. We are looking for two numbers that multiply to 28 and add up to -16. These numbers are -14 and -2. So, the factored form is (u - 14)(u - 2).Substitute Back: Now, substitute back 5x^2 - 9x for u in the factored expression to get: (5x^2 - 9x - 14)(5x^2 - 9x - 2)Factor First Quadratic: Each quadratic factor can be further factored into two linear factors. We will start with the first quadratic factor 5x^2 - 9x - 14. We need to find two numbers that multiply to (5 * -14) = -70 and add up to -9. These numbers are -14 and 5. So, the factored form is (5x + 5)(x - 14).Factor Second Quadratic: Now, factor the second quadratic factor 5x^2 - 9x - 2. We need to find two numbers that multiply to (5 * -2) = -10 and add up to -9. These numbers are -10 and 1. So, the factored form is (5x + 1)(x - 2).Combine Linear Factors: Combine the linear factors from both quadratic factors to express the original expression as a product of four linear factors: (5x + 5)(x - 14)(5x + 1)(x - 2)

Rewrite the expression as a product of four linear factors: $\newline$ $\left(5 x^{2}-9 x\right)^{2}-16\left(5 x^{2}-9 x\right)+28$ $\newline$ Answer:

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Rewrite the expression as a product of four linear factors:\newline(5x2−9x)2−16(5x2−9x)+28 \left(5 x^{2}-9 x\right)^{2}-16\left(5 x^{2}-9 x\right)+28 (5x2−9x)2−16(5x2−9x)+28\newlineAnswer:

Rewrite the expression as a product of four linear factors: $\newline$ $\left(5 x^{2}-9 x\right)^{2}-16\left(5 x^{2}-9 x\right)+28$ $\newline$ Answer: