8-1 Multiplying and Dividing Rational Expressions
Simplify each expression.
18. SOLUTION: Simplify each expression.
31. SOLUTION: 32. SOLUTION: Invert the second fraction and multiply.
34. SOLUTION: Invert the second fraction and multiply.
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8-1 Multiplying and Dividing Rational Expressions
34. SOLUTION: Invert the second fraction and multiply.
35. SOLUTION: Invert the fraction in the denominator and multiply.
Simplify each expression.
42. SOLUTION: eSolutions Manual - Powered by Cognero
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8-1 Multiplying and Dividing Rational Expressions
Simplify each expression.
42. SOLUTION: 43. SOLUTION: 46. SOLUTION: 50. eSolutions Manual - Powered by Cognero
SOLUTION: Page 3
8-1 Multiplying and Dividing Rational Expressions
50. SOLUTION: Simplify each expression.
54. SOLUTION: 60. ERROR ANALYSIS Troy and Beverly are simplifying
Is either of them correct? Explain your reasoning.
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8-1 Multiplying and Dividing Rational Expressions
60. ERROR ANALYSIS Troy and Beverly are simplifying
Is either of them correct? Explain your reasoning.
SOLUTION: Beverly; Troy’s mistake was multiplying by the reciprocal of the dividend instead of the divisor.
67. ACT/SAT For what values of x is the quotient undefined? F 0
G H 0, J 0, ,3
K 0, ,
,3
SOLUTION: The quotient will be undefined if the denominator of either of the two original fractions or the numerator of the
divisor is equal to zero.
x = 0, x =
,x=3
x = 0, x =
x=
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The quotient will be undefined if the value of x is 0,
So, the correct answer is choice K.
,
, or 3.
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SOLUTION: 8-1 Multiplying
and Dividing Rational Expressions
Beverly; Troy’s mistake was multiplying by the reciprocal of the dividend instead of the divisor.
67. ACT/SAT For what values of x is the quotient undefined? F 0
G H 0, J 0, ,3
K 0, ,
,3
SOLUTION: The quotient will be undefined if the denominator of either of the two original fractions or the numerator of the
divisor is equal to zero.
x = 0, x =
,x=3
x = 0, x =
x=
The quotient will be undefined if the value of x is 0,
So, the correct answer is choice K.
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,
, or 3.
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