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Rational expressions

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Section 6.1
#18 Which numbers cannot be used in place of the variable in the rational expression?
(2y+1)/(y2-y-6)
#102 Simplify
(-2x-8)/(x2+2x-8)
Section 6.2
#24 Simplify
(3/a2+a)(2a+2/6)
#76 Simplify
((w2-1/(w-1)2)/((w-1)/(w2+2w+1))
Section 6.3
#20 Build the rational expression into an equivalent rational expression with the indicated denominator.
-7yt/3x = ?/18xyt
#66 Find the LCD and convert the rational expression into an equivalent rational expression with the LCD as the denominator.
4/(a-5) , 5x/(2y-2x)
Section 6.4
#8 Simplify
4/9 - 1/9
#62 Simplify
(2/(x-3)) + (3/(3-x))
Section 6.5
#52 Simplify
((1/9)+(1/3x))/((x/9)-(1/x))
#58 Simplify
4ab5/((a+b)/(6a2b4))
Section 6.6
#30 Solve the equation
x/3 = 4/(x+1)
#50 Solve the equation
-3/x = x/-3.

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Solution Summary

This provides examples of working with rational expressions, including solving equations, simplifying, and least common denominator.

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  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
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