Simplify the following expression completely. (x^(2)-16 x+63)/(x^(2)+3x-70) Answer:

Factor Numerator and Denominator: Factor the numerator and the denominator. The numerator x^2 - 16x + 63 can be factored into (x - 7)(x - 9) because 7 * 9 = 63 and 7 + 9 = 16. The denominator x^2 + 3x - 70 can be factored into (x + 10)(x - 7) because 10 * -7 = -70 and 10 - 7 = 3.Simplify by Canceling Common Factors: Simplify the expression by canceling out common factors. The common factor in the numerator and the denominator is (x - 7). So, we cancel out (x - 7) from both the numerator and the denominator. The simplified expression is (x - 9)/(x + 10).

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Simplify the following expression completely.

(x^(2)-16 x+63)/(x^(2)+3x-70)
Answer:

Simplify the following expression completely. $\newline$ $\frac{x^{2}-16 x+63}{x^{2}+3 x-70}$ $\newline$ Answer:

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Algebra 1

Multiplication with rational exponents

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Q. Simplify the following expression completely.

\newline

\frac{x^{2}-16 x+63}{x^{2}+3 x-70}

\newline

Answer:

Factor Numerator and Denominator: Factor the numerator and the denominator. $\newline$ The numerator $x^2 - 16x + 63$ can be factored into $(x - 7)(x - 9)$ because $7 \times 9 = 63$ and $7 + 9 = 16$ . $\newline$ The denominator $x^2 + 3x - 70$ can be factored into $(x + 10)(x - 7)$ because $10 \times -7 = -70$ and $10 - 7 = 3$ .
Simplify by Canceling Common Factors: Simplify the expression by canceling out common factors. The common factor in the numerator and the denominator is $(x - 7)$ . So, we cancel out $(x - 7)$ from both the numerator and the denominator. The simplified expression is $\frac{x - 9}{x + 10}$ .