Explanation Given: The rational expression is, 2 a + 2 + 1 a + a − 1 a 2 + 2 a . Property used: Fundamental property, P Q = P S Q S , for all mathematical expressions P , Q , R , and S , with Q ≠ 0 and S ≠ 0 . Addition property, P Q + R Q = P + R Q , for all mathematical expressions P , Q , and R , with Q ≠ 0 . Calculation: Since the denominators of the three rational expressions are different, take least common denominator and then add the numerators while keeping the same denominator. The least common denominator of ( a + 2 ) , a and a 2 + 2 a is a ( a + 2 ) . Multiply the first term by a a , the second term by a + 2 a + 2 and the third term by 1 1 . 2 a + 2 + 1 a + a − 1 a 2 + 2 a = 2 a + 2 ⋅ a a + 1 a ⋅ a + 2 a + 2 + a − 1 a 2 + 2 a ⋅ 1 1 Simplify the terms as follows, 2 a + 2 + 1 a + a − 1 a 2 + 2 a = 2 ⋅ a a + 2 ⋅ a + 1 ⋅ ( a + 2 ) a ⋅ ( a + 2 ) + a − 1

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ISBN: 8220102020252

Author: RITCHEY

Publisher: PEARSON

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Chapter R.3, Problem 37E

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To perform: The indicated operations of 2a+2+1a+a−1a2+2a.

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Chapter R.3, Problem 36E

Chapter R.3, Problem 38E

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Chapter R Solutions

EBK FINITE MATHEMATICS AND CALCULUS WIT

Ch. R.1 - Perform the operation 3(x24x5)4(3x25x7)Ch. R.1 - Perform the operation (3y+2)(4y22y5).Ch. R.1 - Find (2x+7)(3x1) using the FOIL method.Ch. R.1 - Find (3x+2y)3.Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations....

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To perform: The indicated operations of 2 a + 2 + 1 a + a − 1 a 2 + 2 a .

Solution Summary: The author explains that the denominators of the three rational expressions are different.

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To perform: The indicated operations of 2a+2+1a+a−1a2+2a.

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