Rewrite the expression as a product of four linear factors: (8x^(2)+11 x)^(2)-16(8x^(2)+11 x)-57 Answer:

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Rewrite the expression as a product of four linear factors:  (8x^(2)+11 x)^(2)-16(8x^(2)+11 x)-57 Answer:

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Identify and Recognize Quadratic Form: Identify the given expression and recognize that it resembles a quadratic in form, where the variable part is (8x^2 + 11x). The expression is: (8x^2 + 11x)^2 - 16(8x^2 + 11x) - 57 Let's denote u = 8x^2 + 11x, so the expression becomes: u^2 - 16u - 57Factor Quadratic Expression: Factor the quadratic expression u^2 - 16u - 57. We are looking for two numbers that multiply to -57 and add up to -16. The numbers that satisfy these conditions are -19 and +3. So we can factor the quadratic as: (u - 19)(u + 3)Substitute and Expand: Now, substitute back 8x^2 + 11x for u in each factor. (8x^2 + 11x - 19)(8x^2 + 11x + 3)Further Factorization Error: Each quadratic factor can be further factored into two linear factors. We will start with the first quadratic factor: 8x^2 + 11x - 19 To factor this, we need to find two numbers that multiply to 8*(-19) = -152 and add up to 11. The numbers that satisfy these conditions are 19 and -8. However, we cannot directly factor this quadratic into linear factors because the numbers 19 and -8 do not multiply to -152. This indicates a math error in the factorization process.

Rewrite the expression as a product of four linear factors: $\newline$ $\left(8 x^{2}+11 x\right)^{2}-16\left(8 x^{2}+11 x\right)-57$ $\newline$ Answer:

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Rewrite the expression as a product of four linear factors:\newline(8x2+11x)2−16(8x2+11x)−57 \left(8 x^{2}+11 x\right)^{2}-16\left(8 x^{2}+11 x\right)-57 (8x2+11x)2−16(8x2+11x)−57\newlineAnswer:

Rewrite the expression as a product of four linear factors: $\newline$ $\left(8 x^{2}+11 x\right)^{2}-16\left(8 x^{2}+11 x\right)-57$ $\newline$ Answer: