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25

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{y-6}{\left(y-2\right)\!\left(y-6\right)}}=}\)

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26

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{y+3}{\left(y-8\right)\!\left(y+3\right)}}=}\)

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27

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{-8\!\left(r-8\right)}{\left(r-6\right)\!\left(r-8\right)}}=}\)

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28

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{-3\!\left(r+5\right)}{\left(r-3\right)\!\left(r+5\right)}}=}\)

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29

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{\left(r+2\right)\!\left(r-10\right)}{10-r}}=}\)

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30

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{\left(t-8\right)\!\left(t-7\right)}{7-t}}=}\)

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31

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{5t-25}{t-5}}=}\)

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32

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{-2x+4}{x-2}}=}\)

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33

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{-9x}{x^{2}+8x}}=}\)

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34

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{-6y}{y^{2}-5y}}=}\)

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35

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{6y-y^{2}}{y^{2}-9y+18}}=}\)

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36

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{4y-y^{2}}{y^{2}+2y-24}}=}\)

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37

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{r^{2}+2r}{4-r^{2}}}=}\)

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38

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{r^{2}-6r}{36-r^{2}}}=}\)

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39

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{-t^{2}+4t}{-4+5t-t^{2}}}=}\)

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40

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{-t^{2}-2t}{12+4t-t^{2}}}=}\)

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41

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{5x^{2}+11x+6}{-7x-5-2x^{2}}}=}\)

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42

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{3x^{2}+x-2}{-2x+3-5x^{2}}}=}\)

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43

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{y^{2}+y-2}{2y-y^{2}-1}}=}\)

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44

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{y^{2}-11y+30}{10y-y^{2}-25}}=}\)

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45

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{-y^{2}-y+12}{y^{2}-9}}=}\)

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46

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{-r^{2}+3r-2}{r^{2}-4}}=}\)

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47

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{5r^{2}+9r+4}{-7r-5-2r^{2}}}=}\)

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48

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{3t^{2}+t-2}{-11t-5-6t^{2}}}=}\)

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49

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{3t^{2}-t^{3}}{t^{2}-5t+6}}=}\)

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50

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{-2x^{4}-x^{5}}{x^{2}-3x-10}}=}\)

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51

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{x^{5}-x^{4}-20x^{3}}{x^{5}-11x^{4}+30x^{3}}}=}\)

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52

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{y^{4}-5y^{3}-6y^{2}}{y^{4}-4y^{3}-5y^{2}}}=}\)

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53

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{y^{3}+64}{y^{2}-16}}=}\)

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54

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{y^{3}-27}{y^{2}-9}}=}\)