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• Rational expressions
• Operations with Rational Expressions
• Add and Subtract Rational Expressions

# Add and Subtract Rational Expressions

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•  Question 1: 1 pts Add and simplify. $$\dfrac{2}{t+3} + \dfrac{4}{t+3}$$
 $\dfrac{8}{t+3}$ $\dfrac{t+3}{6}$ $\dfrac{6}{t+3}$ $\dfrac{6}{2(t+3)}$
•  Question 2: 1 pts Substract and simplify. $$\dfrac{3}{2a^{2}} - \dfrac{1}{2a^{2}}$$
 $\dfrac{2a^{2}}{3}$ $\dfrac{a^{2}}{2}$ $\dfrac{3}{2a^{2}}$ $\dfrac{1}{1a^{2}}$
•  Question 3: 1 pts $$\dfrac{6}{x-5}+\dfrac{x+2}{x-5}=\dfrac{6x+12}{x-5}$$
•  Question 4: 1 pts Find the least common denominator. $$\dfrac{2}{x^{2}} -\dfrac{3}{7x}$$
 $7$ $7x$ $7x^{2}$ $7x^{3}$
•  Question 5: 2 pts Substract and simplify. $$\dfrac{1}{x} - \dfrac{1}{x-1}$$
 $\dfrac{1}{x-1}$ $\dfrac{-1}{x(x-1)}$ $\dfrac{-1}{(x-1)}$ $\dfrac{-1}{x(x+1)}$
•  Question 6: 2 pts Add and simplify. $$\dfrac{a-b}{a^{2}} + \dfrac{1}{a}$$
 $\dfrac{a-b}{a^{2}}$ $\dfrac{2a+b}{a^{2}}$ $\dfrac{2a-b}{a^{2}}$ $\dfrac{a-b}{a}$
•  Question 7: 1 pts $$\dfrac{1}{x}+\dfrac{1}{y}=\dfrac{1}{x+y}$$
•  Question 8: 2 pts Substract and simplify. $$\dfrac{x-1}{4x} - \dfrac{2x-13}{x}$$
 $\dfrac{7x+13}{4x}$ $\dfrac{-7x+51}{4x}$ $\dfrac{7x-13}{4x}$ $\dfrac{-7x-51}{4x}$
•  Question 9: 3 pts Substract and simplify. $$\dfrac{4-a^{2}}{a^{2}-9} - \dfrac{a-2}{3-a}$$
 $\dfrac{a-2}{a^{2}+9}$ $\dfrac{a-2}{a^{2}-9}$ $\dfrac{a+2}{a^{2}-9}$ $\dfrac{a+2}{a-3^{2}}$
•  Question 10: 3 pts Find the least common denominator. $$\dfrac{7}{3x^{2}-6x} +\dfrac{x^{2}}{x^{2}-4x+4}$$
 $3x \cdot (x-2)^{2}$ $x \cdot (x-2)^{2}$ $3x \cdot (x+2)^{2}$ $3 \cdot (x-2)^{2}$