Simplify the following expression completely. (x^(2)-16 x+63)/(x^(2)-19 x+90) Answer:

Factor Numerator: Factor the numerator x^2 - 16x + 63. We look for two numbers that multiply to 63 and add up to -16. These numbers are -7 and -9. So, x^2 - 16x + 63 can be factored as (x - 7)(x - 9).Factor Denominator: Factor the denominator x^2 - 19x + 90. We look for two numbers that multiply to 90 and add up to -19. These numbers are -10 and -9. So, x^2 - 19x + 90 can be factored as (x - 10)(x - 9).Simplify Expression: Simplify the expression by canceling out common factors. We have (x - 7)(x - 9) / (x - 10)(x - 9). The (x - 9) terms cancel out, leaving us with (x - 7) / (x - 10).

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Simplify the following expression completely.

(x^(2)-16 x+63)/(x^(2)-19 x+90)
Answer:

Simplify the following expression completely. $\newline$ $\frac{x^{2}-16 x+63}{x^{2}-19 x+90}$ $\newline$ Answer:

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Q. Simplify the following expression completely.

\newline

\frac{x^{2}-16 x+63}{x^{2}-19 x+90}

\newline

Answer:

Factor Numerator: Factor the numerator $x^2 - 16x + 63$ . We look for two numbers that multiply to $63$ and add up to $-16$ . These numbers are $-7$ and $-9$ . So, $x^2 - 16x + 63$ can be factored as $(x - 7)(x - 9)$ .
Factor Denominator: Factor the denominator $x^2 - 19x + 90$ . We look for two numbers that multiply to $90$ and add up to $-19$ . These numbers are $-10$ and $-9$ . So, $x^2 - 19x + 90$ can be factored as $(x - 10)(x - 9)$ .
Simplify Expression: Simplify the expression by canceling out common factors. $\newline$ We have $(x - 7)(x - 9) / (x - 10)(x - 9)$ . The $(x - 9)$ terms cancel out, leaving us with $(x - 7) / (x - 10)$ .