Explanation Given: The expression is a 5 − a − 2 a + 3 + 2 a 2 − 2 a a 2 − 2 a − 15 . Calculation: First simplify the expression a 2 − 2 a − 15 . a 2 − 2 a − 15 = a 2 + 3 a − 5 a − 15 Now factor the equation by grouping, a 2 − 2 a − 15 = a ( a + 3 ) − 5 ( a + 3 ) Take out the common factor ( a + 3 ) , a 2 − 2 a − 15 = ( a + 3 ) ( a − 5 ) The lowest common denominator of the given expression a 5 − a − 2 a + 3 + 2 a 2 − 2 a ( a + 3 ) ( a − 5 ) is ( a − 5 ) ( a + 3 ) . First rewrite the fractions as the fractions with the lowest common divisor and then add. a 5 − a − 2 a + 3 + 2 a 2 − 2 a ( a + 3 ) ( a − 5 ) = − a a − 5 ⋅ ( a + 3 ) ( a + 3 ) − 2 a + 3 ⋅ ( a − 5 ) ( a − 5 ) + 2 a 2 − 2 a ( a + 3 ) ( a − 5 ) ⋅ 1 1 = − a ( a + 3 ) ( a − 5 ) ( a + 3 ) − 2 ( a − 5 ) ( a + 3 ) ( a − 5

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Chapter 6, Problem 16RP

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To calculate: The simplify form of the expression, a5−a−2a+3+2a2−2aa2−2a−15.

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Chapter 6, Problem 15RP

Chapter 6, Problem 17RP

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The simplify form of the expression, a 5 − a − 2 a + 3 + 2 a 2 − 2 a a 2 − 2 a − 15 .

Solution Summary: The author explains the simplify form of the expression, a-2a+3.

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To calculate: The simplify form of the expression, a5−a−2a+3+2a2−2aa2−2a−15.

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Chapter 6 Solutions