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• Rational expressions
• Operations with Rational Expressions
• Multiplying Rational Expressions

# Multiplying Rational Expressions

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•  Question 1: 1 pts $$\dfrac{3}{4n} \cdot \dfrac{4n}{6n} =$$
 $\dfrac{1}{2n}$ $\dfrac{1}{4n}$ $\dfrac{2}{n}$ $\dfrac{4}{n}$
•  Question 2: 1 pts $$\dfrac{51}{23} \cdot \dfrac{46n^{2}}{51}=2n^{2}$$
•  Question 3: 1 pts Multiply and simplify $$\dfrac{y^{2}}{8} \cdot \dfrac{8}{y}$$
 $y^{2}$ $y$ $y^{3}$ $\dfrac{1}{y}$
•  Question 4: 2 pts Multiply and simplify $$\dfrac{x^{2}-49}{x-7} \cdot 5$$
 $5(x-7)$ $5(x+7)$ $x-7$ $x+7$
•  Question 5: 2 pts Multiply and simplify $$\dfrac{6\cdot (r+2)}{20} \cdot \dfrac{4r}{6\cdot (r+2)}$$
 $\dfrac{5}{r}$ $\dfrac{r}{5}$ $\dfrac{3}{r}$ $\dfrac{r}{12}$
•  Question 6: 2 pts $$\dfrac{2\cdot (p+2)}{4} \cdot \dfrac{p-3}{2\cdot (p-3)}$$
 $\dfrac{p+2}{4}$ $\dfrac{2}{p+4}$ $\dfrac{4}{p+4}$ $\dfrac{2}{p+2}$
•  Question 7: 3 pts $$\dfrac{m^{2}-n^{2}}{4m+4n}\cdot \dfrac{m+n}{m-n}$$
 $\dfrac{4}{m-n}$ $\dfrac{4}{m+n}$ $\dfrac{m+n}{4}$ $\dfrac{m-n}{4}$
•  Question 8: 3 pts $$\dfrac{5t^{3}}{4t-8} \cdot \dfrac{6t-12}{10t} = \dfrac{3t^2}{4}$$
•  Question 9: 3 pts Multiply and simplify. $$\dfrac{(x+2)^{2}}{6x^{2}} \cdot \dfrac{3x}{x^{2}-4}$$
 $\dfrac{x+2}{2 (x-2)}$ $\dfrac{x-2}{2x (x-2)}$ $\dfrac{x+2}{2x (x-2)}$ $\dfrac{x+2}{2x (x+2)}$
•  Question 10: 3 pts Multiply and simplify. $$\dfrac{9v^{3}-54v^{2}}{9v^{2}+45v} \cdot \dfrac{9v^{2}+9v}{9v^{3}-54v^{2}}$$
 $\dfrac{v+1}{v+5}$ $\dfrac{v-1}{v+5}$ $\dfrac{v+5}{v+1}$ $\dfrac{v+1}{v-5}$
•  Question 11: 3 pts Multiply and simplify. $$\dfrac{45x^{2}}{x-9} \cdot \dfrac{x^{2}-5x-36}{3x^{3}+12x^{2}}$$
 $13$ $14$ $15$ $16$