Explanation Given Information: The provided expression is a a 2 − 2 a + 1 + 1 a 2 − 5 a + 4 . Formula used: The arithmetic numbers can be written in fraction notation as a b where a and b are whole numbers and called as numerator and denominator respectively. To add these arithmetic numbers that don’t shares the same denominator, follow the steps given below: Step 1: Find the least common multiple of the denominators. That number is the least common denominator, LCD. Step 2: Multiply by 1, using the appropriate notation n n for each fraction to express fractions in terms of the LCD. Step 3: Add the numerators and keep the same denominator. Step 4: Simplify. Calculation: Consider the expression a a 2 − 2 a + 1 + 1 a 2 − 5 a + 4 . The Least Common Denominator of the denominators can be found out by factorization of the denominator, Since the factorized form of a 2 − 2 a + 1 is, a 2 − 2 a + 1 = ( a − 1 ) ⋅ ( a − 1 ) And the factorized form of a 2 − 5 a + 4 is, a 2 − 5 a + 4 = a 2 − a − 4 a + 4 = a ( a − 1 ) − 4 ( a − 1 ) = ( a − 1 ) ( a − 4 ) Therefore, the Least Common Denominator is: LCD = ( a − 1 ) ( a − 1 ) ( a − 4 ) = ( a − 1 ) 2 ( a − 4 ) To get the LCD in each expression, multiply the each expression by a symbol for 1. Multiply first expression by a − 4 a − 4 and second expression by a − 1 a − 1

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 12.4, Problem 32ES

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To calculate: The addition of aa2−2a+1+1a2−5a+4 and simplify, if possible.

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Chapter 12.4, Problem 31ES

Chapter 12.4, Problem 33ES

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Chapter 12 Solutions

Developmental Mathematics (9th Edition)

Ch. 12.1 - Objective 11.3a: Factor trinomials of the type...Ch. 12.1 - Prob. 2SR Ch. 12.1 - Prob. 1DE Ch. 12.1 - Prob. 2DE Ch. 12.1 - Prob. 3DE Ch. 12.1 - Prob. 4DE Ch. 12.1 - Prob. 5DE Ch. 12.1 - Prob. 6DE Ch. 12.1 - Prob. 7DE Ch. 12.1 - Prob. 8DE

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The addition of a a 2 − 2 a + 1 + 1 a 2 − 5 a + 4 and simplify, if possible.

Solution Summary: The author explains how arithmetic numbers can be written in tion notation as ab.

To calculate: The addition of aa2−2a+1+1a2−5a+4 and simplify, if possible.

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Chapter 12 Solutions