Explanation Result used: Addition or Subtraction of Rational Numbers (Fraction) with unlike denominators: To find the sum or difference of a set of fractions that all have the same denominator, add or subtract the numerators divided by the same denominator. That is, a c + b c = a + b c where c is non-zero integer and a c − b c = a − b c where c is non-zero integer. Calculation: The given expression is t 2 + 4 t − 4 − 5 t t − 4 . Note that, the denominators of the two fractions are same. By the above result, add the numerators of the two fractions divided by the same denominator t − 4 as follows. t 2 + 4 t − 4 − 5 t t − 4 = t 2 + 4 − 5 t t − 4 Factor the numerator and simlplify further as follows. t 2 + 4 t − 4 − 5 t t − 4 = t 2 − 4 t − t + 4 t − 4 = ( t 2 − 4

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Chapter 6.6, Problem 22E

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To perform: The indicated operations in the expression t2+4t−4−5tt−4 and simplify it.

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Chapter 6.6, Problem 21E

Chapter 6.6, Problem 23E

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Chapter 6 Solutions

Basic Technical Mathematics

Ch. 6.1 - Prob. 1PE Ch. 6.1 - Prob. 2PE Ch. 6.1 - Prob. 3PE Ch. 6.1 - Prob. 4PE Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E

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To perform: The indicated operations in the expression t 2 + 4 t − 4 − 5 t t − 4 and simplify it.

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To perform: The indicated operations in the expression t2+4t−4−5tt−4 and simplify it.

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