Evaluate the expression for u = -3. Write your answer in simplest form. u - 2/u - 6 = ____

Identify Expression: Identify the expression after substituting u = -3 Substitute -3 for u in (u - 2)/(u - 6). ((-3) - 2)/((-3) - 6)Substitute and Simplify: Evaluate (-3) - 2 (-3) - 2 = -5 Numerator: -5Evaluate Numerator: Evaluate -3 - 6 -3 - 6 = -9 Denominator: -9Evaluate Denominator: -5/(-9) Rewrite the fraction in simplest form. Both -5 and -9 are divisible by -1, which will change the signs. -5/(-9) = 5/9 The fraction is already in its simplest form.

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Evaluate the expression for $u = -3$ . $\newline$ Write your answer in simplest form. $\newline$ $\frac{u - 2}{u - 6} = \underline{\hspace{2cm}}$

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Algebra 2

Evaluate rational expressions II

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Q. Evaluate the expression for

u = -3

\newline

Write your answer in simplest form.

\newline

\frac{u - 2}{u - 6} = \underline{\hspace{2cm}}

Identify Expression: Identify the expression after substituting $u = -3$ $\newline$ Substitute $-3$ for $u$ in $\frac{u - 2}{u - 6}$ . $\newline$ $\frac{(-3) - 2}{(-3) - 6}$
Substitute and Simplify: Evaluate $(-3) - 2$ $(-3) - 2 = -5$ Numerator: $-5$
Evaluate Numerator: Evaluate $-3 - 6$ $-3 - 6 = -9$ Denominator: $-9$
Evaluate Denominator: $-\frac{5}{-9}$ $\newline$ Rewrite the fraction in simplest form. $\newline$ Both $-5$ and $-9$ are divisible by $-1$ , which will change the signs. $\newline$ $-\frac{5}{-9} = \frac{5}{9}$ $\newline$ The fraction is already in its simplest form.