Simplify the expression completely if possible. (x^(2)-11 x+28)/(x^(2)-14 x+49) Answer:

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Simplify the expression completely if possible.  (x^(2)-11 x+28)/(x^(2)-14 x+49) Answer:

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Identify Expressions: Identify the expressions in the numerator and the denominator and check if they can be factored. The numerator is a quadratic expression x^2 - 11x + 28, and the denominator is also a quadratic expression x^2 - 14x + 49.Factor Numerator: Factor the numerator x^2 - 11x + 28. We are looking for two numbers that multiply to 28 and add up to -11. These numbers are -4 and -7. So, x^2 - 11x + 28 can be factored as (x - 4)(x - 7).Factor Denominator: Factor the denominator x^2 - 14x + 49. We are looking for two numbers that multiply to 49 and add up to -14. These numbers are -7 and -7. So, x^2 - 14x + 49 can be factored as (x - 7)(x - 7) or (x - 7)^2.Write Factored Form: Write the factored form of the original expression: ((x - 4)(x - 7)) / ((x - 7)(x - 7)).Cancel Common Factors: Cancel out the common factors in the numerator and the denominator. The (x - 7) term is common to both and can be canceled out. After canceling, we are left with (x - 4) / (x - 7).Check Further Simplifications: Check for any further simplifications. Since (x - 4) and (x - 7) are both linear and do not have any common factors, the expression cannot be simplified further. The final simplified expression is (x - 4) / (x - 7).

Simplify the expression completely if possible. $\newline$ $\frac{x^{2}-11 x+28}{x^{2}-14 x+49}$ $\newline$ Answer:

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Simplify the expression completely if possible.\newlinex2−11x+28x2−14x+49 \frac{x^{2}-11 x+28}{x^{2}-14 x+49} x2−14x+49x2−11x+28​\newlineAnswer:

Simplify the expression completely if possible. $\newline$ $\frac{x^{2}-11 x+28}{x^{2}-14 x+49}$ $\newline$ Answer: