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High School Math Calculus Precalculus

The expression ( 2 x − 5 ) ⋅ 3 x 2 − x 3 ⋅ 2 ( 2 x − 5 ) 2 to the lowest term

The expression ( 2 x − 5 ) ⋅ 3 x 2 − x 3 ⋅ 2 ( 2 x − 5 ) 2 to the lowest term

Precalculus

9th Edition

ISBN: 9780321716835

Author: Michael Sullivan

Publisher: Addison Wesley

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Concept explainers

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

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Question

Chapter A.5, Problem 40AYU

To determine

To Simplify: The expression (2x−5)⋅3x2−x3⋅2(2x−5)2 to the lowest term

Expert Solution & Answer

Answer to Problem 40AYU

x2(4x−15)(2x−5)2

Explanation of Solution

Given: Expression that occur in calculus. Reduce the expression to the lowest term.

(2x−5)⋅3x2−x3⋅2(2x−5)2

Given: (2x−5)⋅3x2−x3⋅2(2x−5)2

Joining numerator terms

=(2x−5)⋅3x2−x3⋅2=6x3−15x2−2x3=4x3−15x2

Replace the value of numerator original expression we get

=(2x−5)⋅3x2−x3⋅2(2x−5)2=4x3−15x2(2x−5)2=x2(4x−15)(2x−5)2

Hence, x2(4x−15)(2x−5)2

Chapter A.5, Problem 39AYU

Chapter A.5, Problem 41AYU

Chapter A Solutions

Precalculus

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A.8 - Prob. 25AYU Ch. A.8 - Prob. 26AYU Ch. A.8 - Prob. 27AYU Ch. A.8 - Prob. 28AYU Ch. A.8 - Prob. 29AYU Ch. A.8 - Prob. 30AYU Ch. A.8 - Prob. 31AYU Ch. A.8 - Prob. 32AYU Ch. A.8 - Prob. 33AYU Ch. A.8 - Prob. 34AYU Ch. A.8 - Prob. 35AYU Ch. A.8 - Prob. 36AYU Ch. A.8 - Prob. 37AYU Ch. A.8 - Prob. 38AYU Ch. A.8 - Prob. 39AYU Ch. A.8 - Prob. 40AYU Ch. A.8 - Prob. 41AYU Ch. A.8 - Prob. 42AYU Ch. A.8 - Prob. 43AYU Ch. A.8 - Prob. 44AYU Ch. A.8 - Prob. 45AYU Ch. A.8 - Prob. 46AYU Ch. A.8 - Prob. 47AYU Ch. A.8 - Prob. 48AYU Ch. A.8 - Prob. 49AYU Ch. A.8 - Prob. 50AYU Ch. A.8 - Prob. 51AYU Ch. A.8 - Prob. 52AYU Ch. A.8 - Prob. 53AYU Ch. A.8 - Prob. 54AYU Ch. A.8 - Prob. 55AYU Ch. A.8 - Prob. 56AYU Ch. A.8 - Prob. 57AYU Ch. A.8 - Prob. 58AYU Ch. A.8 - Prob. 59AYU Ch. A.8 - Prob. 60AYU Ch. A.8 - Prob. 61AYU Ch. A.9 - Prob. 1AYU Ch. A.9 - Prob. 2AYU Ch. A.9 - Prob. 3AYU Ch. A.9 - Prob. 4AYU Ch. A.9 - Prob. 5AYU Ch. A.9 - Prob. 6AYU Ch. A.9 - Prob. 7AYU Ch. A.9 - Prob. 8AYU Ch. A.9 - Prob. 9AYU Ch. A.9 - Prob. 10AYU Ch. A.9 - Prob. 11AYU Ch. A.9 - Prob. 12AYU Ch. A.9 - Prob. 13AYU Ch. A.9 - Prob. 14AYU Ch. A.9 - Prob. 15AYU Ch. A.9 - Prob. 16AYU Ch. A.9 - Prob. 17AYU Ch. A.9 - Prob. 18AYU Ch. A.9 - Prob. 19AYU Ch. A.9 - Prob. 20AYU Ch. A.9 - Prob. 21AYU Ch. A.9 - Prob. 22AYU Ch. A.9 - Prob. 23AYU Ch. A.9 - Prob. 24AYU Ch. A.9 - Prob. 25AYU Ch. A.9 - Prob. 26AYU Ch. A.9 - Prob. 27AYU Ch. A.9 - Prob. 28AYU Ch. A.9 - Prob. 29AYU Ch. A.9 - Prob. 30AYU Ch. A.9 - Prob. 31AYU Ch. A.9 - Prob. 32AYU Ch. A.9 - Prob. 33AYU Ch. A.9 - Prob. 34AYU Ch. A.9 - Prob. 35AYU Ch. A.9 - Prob. 36AYU Ch. A.9 - Prob. 37AYU Ch. A.9 - Prob. 38AYU Ch. A.9 - Prob. 39AYU Ch. A.9 - Prob. 40AYU Ch. A.9 - Prob. 41AYU Ch. A.9 - Prob. 42AYU Ch. A.9 - Prob. 43AYU Ch. A.9 - Prob. 44AYU Ch. A.9 - Prob. 45AYU Ch. A.9 - Prob. 46AYU Ch. A.9 - Prob. 47AYU Ch. A.9 - Prob. 48AYU Ch. A.9 - Prob. 49AYU Ch. A.9 - Prob. 50AYU Ch. A.9 - Prob. 51AYU Ch. A.9 - Prob. 52AYU Ch. A.9 - Prob. 53AYU Ch. A.9 - Prob. 54AYU Ch. A.9 - Prob. 55AYU Ch. A.9 - Prob. 56AYU Ch. A.9 - Prob. 57AYU Ch. A.9 - Prob. 58AYU Ch. A.9 - Prob. 59AYU Ch. A.9 - Prob. 60AYU Ch. A.9 - Prob. 61AYU Ch. A.9 - Prob. 62AYU Ch. A.9 - Prob. 63AYU Ch. A.9 - Prob. 64AYU Ch. A.9 - Prob. 65AYU Ch. A.9 - Prob. 66AYU Ch. A.9 - Prob. 67AYU Ch. A.9 - Prob. 68AYU Ch. A.9 - Prob. 69AYU Ch. A.9 - Prob. 70AYU Ch. A.9 - Prob. 71AYU Ch. A.9 - Prob. 72AYU Ch. A.9 - Prob. 73AYU Ch. A.9 - Prob. 74AYU Ch. A.9 - Prob. 75AYU Ch. A.9 - Prob. 76AYU Ch. A.9 - Prob. 77AYU Ch. A.9 - Prob. 78AYU Ch. A.9 - Prob. 79AYU Ch. A.9 - Prob. 80AYU Ch. A.9 - Prob. 81AYU Ch. A.9 - Prob. 82AYU Ch. A.9 - Prob. 83AYU Ch. A.9 - Prob. 84AYU Ch. A.9 - Prob. 85AYU Ch. A.9 - Prob. 86AYU Ch. A.9 - Prob. 87AYU Ch. A.9 - Prob. 88AYU Ch. A.9 - Prob. 89AYU Ch. A.9 - Prob. 90AYU Ch. A.9 - Prob. 91AYU Ch. A.9 - Prob. 92AYU Ch. A.9 - Prob. 93AYU Ch. A.9 - Prob. 94AYU Ch. A.9 - Prob. 95AYU Ch. A.9 - Prob. 96AYU Ch. A.9 - Prob. 97AYU Ch. A.9 - Prob. 98AYU Ch. A.9 - Prob. 99AYU Ch. A.9 - Prob. 100AYU Ch. A.9 - Prob. 101AYU Ch. A.9 - Prob. 102AYU Ch. A.9 - Prob. 103AYU Ch. A.9 - Prob. 104AYU Ch. A.9 - Prob. 105AYU Ch. A.9 - Prob. 106AYU Ch. A.9 - Prob. 107AYU Ch. A.9 - Prob. 108AYU Ch. A.9 - Prob. 109AYU Ch. A.9 - Prob. 110AYU Ch. A.9 - Prob. 111AYU Ch. A.9 - Prob. 112AYU Ch. A.9 - Prob. 113AYU Ch. A.9 - Prob. 114AYU Ch. A.9 - Prob. 115AYU Ch. A.9 - Prob. 116AYU Ch. A.9 - Prob. 117AYU Ch. A.9 - Prob. 118AYU Ch. A.9 - Prob. 119AYU Ch. A.9 - Prob. 120AYU Ch. A.9 - Prob. 121AYU Ch. A.9 - Prob. 122AYU Ch. A.9 - Prob. 123AYU Ch. A.9 - Prob. 124AYU Ch. A.9 - Prob. 125AYU Ch. A.9 - Prob. 126AYU Ch. A.9 - Prob. 127AYU Ch. A.9 - Prob. 128AYU Ch. A.9 - Prob. 129AYU Ch. A.9 - Prob. 130AYU Ch. A.9 - Prob. 131AYU Ch. A.10 - Prob. 1AYU Ch. A.10 - Prob. 2AYU Ch. A.10 - Prob. 3AYU Ch. A.10 - Prob. 4AYU Ch. A.10 - Prob. 5AYU Ch. A.10 - Prob. 6AYU Ch. A.10 - Prob. 7AYU Ch. A.10 - Prob. 8AYU Ch. A.10 - Prob. 9AYU Ch. A.10 - Prob. 10AYU Ch. A.10 - Prob. 11AYU Ch. A.10 - Prob. 12AYU Ch. A.10 - Prob. 13AYU Ch. A.10 - Prob. 14AYU Ch. A.10 - Prob. 15AYU Ch. A.10 - Prob. 16AYU Ch. A.10 - Prob. 17AYU Ch. A.10 - Prob. 18AYU Ch. A.10 - Prob. 19AYU Ch. A.10 - Prob. 20AYU Ch. A.10 - Prob. 21AYU Ch. A.10 - Prob. 22AYU Ch. A.10 - Prob. 23AYU Ch. A.10 - Prob. 24AYU Ch. A.10 - Prob. 25AYU Ch. A.10 - Prob. 26AYU Ch. A.10 - Prob. 27AYU Ch. A.10 - Prob. 28AYU Ch. A.10 - Prob. 29AYU Ch. A.10 - Prob. 30AYU Ch. A.10 - Prob. 31AYU Ch. A.10 - Prob. 32AYU Ch. A.10 - Prob. 33AYU Ch. A.10 - Prob. 34AYU Ch. A.10 - Prob. 35AYU Ch. A.10 - Prob. 36AYU Ch. A.10 - Prob. 37AYU Ch. A.10 - Prob. 38AYU Ch. A.10 - Prob. 39AYU Ch. A.10 - Prob. 40AYU Ch. A.10 - Prob. 41AYU Ch. A.10 - Prob. 42AYU Ch. A.10 - Prob. 43AYU Ch. A.10 - Prob. 44AYU Ch. A.10 - Prob. 45AYU Ch. A.10 - Prob. 46AYU Ch. A.10 - Prob. 47AYU Ch. A.10 - Prob. 48AYU Ch. A.10 - Prob. 49AYU Ch. A.10 - Prob. 50AYU Ch. A.10 - Prob. 51AYU Ch. A.10 - Prob. 52AYU Ch. A.10 - Prob. 53AYU Ch. A.10 - Prob. 54AYU Ch. A.10 - Prob. 55AYU Ch. A.10 - Prob. 56AYU Ch. A.10 - Prob. 57AYU Ch. A.10 - Prob. 58AYU Ch. A.10 - Prob. 59AYU Ch. A.10 - Prob. 60AYU Ch. A.10 - Prob. 61AYU Ch. A.10 - Prob. 62AYU Ch. A.10 - Prob. 63AYU Ch. A.10 - Prob. 64AYU Ch. A.10 - Prob. 65AYU Ch. A.10 - Prob. 66AYU Ch. A.10 - Prob. 67AYU Ch. A.10 - Prob. 68AYU Ch. A.10 - Prob. 69AYU Ch. A.10 - Prob. 70AYU Ch. A.10 - Prob. 71AYU Ch. A.10 - Prob. 72AYU Ch. A.10 - Prob. 73AYU Ch. A.10 - Prob. 74AYU Ch. A.10 - Prob. 75AYU Ch. A.10 - Prob. 76AYU Ch. A.10 - Prob. 77AYU Ch. A.10 - Prob. 78AYU Ch. A.10 - Prob. 79AYU Ch. A.10 - Prob. 80AYU Ch. A.10 - Prob. 81AYU Ch. A.10 - Prob. 82AYU Ch. A.10 - Prob. 83AYU Ch. A.10 - Prob. 84AYU Ch. A.10 - Prob. 85AYU Ch. A.10 - Prob. 86AYU Ch. A.10 - Prob. 87AYU Ch. A.10 - Prob. 88AYU Ch. A.10 - Prob. 89AYU Ch. A.10 - Prob. 90AYU Ch. A.10 - Prob. 91AYU Ch. A.10 - Prob. 92AYU Ch. A.10 - Prob. 93AYU Ch. A.10 - Prob. 94AYU Ch. A.10 - Prob. 95AYU Ch. A.10 - Prob. 96AYU Ch. A.10 - Prob. 97AYU Ch. A.10 - Prob. 98AYU Ch. A.10 - Prob. 99AYU Ch. A.10 - Prob. 100AYU Ch. A.10 - Prob. 101AYU Ch. A.10 - Prob. 102AYU Ch. A.10 - Prob. 103AYU Ch. A.10 - Prob. 104AYU Ch. A.10 - Prob. 105AYU Ch. A.10 - Prob. 106AYU Ch. A.10 - Prob. 107AYU Ch. A.10 - Prob. 108AYU Ch. A.10 - Prob. 109AYU Ch. A.10 - Prob. 110AYU Ch. A.10 - Prob. 111AYU Ch. A.10 - Prob. 112AYU Ch. A.10 - Prob. 113AYU Ch. A.10 - Prob. 114AYU Ch. A.10 - Prob. 115AYU Ch. A.10 - Prob. 116AYU Ch. A.10 - Prob. 117AYU

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