Simplify the following expression completely. (x^(2)-6x-7)/(x^(2)-16 x+63) Answer:

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Simplify the following expression completely.  (x^(2)-6x-7)/(x^(2)-16 x+63) Answer:

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Factor Quadratic Expressions: Factor the numerator and the denominator. The numerator x^2 - 6x - 7 is a quadratic expression that can be factored into two binomials. We look for two numbers that multiply to -7 and add up to -6. These numbers are -7 and 1. So, x^2 - 6x - 7 factors to (x - 7)(x + 1). The denominator x^2 - 16x + 63 is also a quadratic expression that can be factored into two binomials. We look for two numbers that multiply to 63 and add up to -16. These numbers are -9 and -7. So, x^2 - 16x + 63 factors to (x - 9)(x - 7).Cancel Common Factors: Simplify the expression by canceling out common factors. We have the factored form of the numerator and denominator: (x - 7)(x + 1) / (x - 9)(x - 7) We can cancel out the common factor (x - 7) from the numerator and denominator. This leaves us with: (x + 1) / (x - 9)Check for Further Simplifications: Check for any further simplifications. The expression (x + 1) / (x - 9) cannot be simplified further as there are no common factors left to cancel out.

Simplify the following expression completely. $\newline$ $\frac{x^{2}-6 x-7}{x^{2}-16 x+63}$ $\newline$ Answer:

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Simplify the following expression completely.\newlinex2−6x−7x2−16x+63 \frac{x^{2}-6 x-7}{x^{2}-16 x+63} x2−16x+63x2−6x−7​\newlineAnswer:

Simplify the following expression completely. $\newline$ $\frac{x^{2}-6 x-7}{x^{2}-16 x+63}$ $\newline$ Answer: