Explanation Property used: ( a + b ) 3 = a 3 + 3 a 2 b + 3 a b 2 + b 3 . Calculation: Use the above-mentioned property, the expression can be expanded as, ( x + h ) 3 − x 3 h = ( x 3 + 3 x 2 h + 3 x h 2 + h 3 ) − x 3 h = x 3 + 3 x 2 h + 3 x h 2 + h 3 − x 3 h = x 3 − x 3 + 3 x 2</

Single Variable Calculus: Early Transcendentals Plus MyLab Math with Pearson eText -- Access Card Package (2nd Edition) (Briggs/Cochran/Gillett Calculus 2e)

2nd Edition

ISBN: 9780321965172

Author: William L. Briggs, Lyle Cochran, Bernard Gillett

Publisher: PEARSON

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Chapter A, Problem 25E

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To solve: The expression (x+h)3−x3h, for h≠0 .

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Chapter A, Problem 24E

Chapter A, Problem 26E

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Single Variable Calculus: Early Transcendentals Plus MyLab Math with Pearson eText -- Access Card Package (2nd Edition) (Briggs/Cochran/Gillett Calculus 2e)

Ch. A - State the meaning of {x: 4 x 10}. Express the...Ch. A - Write the interval (, 2) in set notation and draw...Ch. A - Prob. 3E Ch. A - Prob. 4E Ch. A - Prob. 5E Ch. A - Write an equation of the set of all points that...Ch. A - Explain how to find the distance between two...Ch. A - Prob. 8E Ch. A - Prob. 9E Ch. A - Prob. 10E

Ch. A - Prob. 11E Ch. A - Prob. 12E Ch. A - Prob. 13E Ch. A - Prob. 14E Ch. A - Prob. 15E Ch. A - Prob. 16E Ch. A - Prob. 17E Ch. A - Prob. 18E Ch. A - Prob. 19E Ch. A - Prob. 20E Ch. A - Prob. 21E Ch. A - Prob. 22E Ch. A - Prob. 23E Ch. A - Prob. 24E Ch. A - Prob. 25E Ch. A - Prob. 26E Ch. A - Prob. 27E Ch. A - Prob. 28E Ch. A - Solving inequalities Solve the following...Ch. A - Prob. 30E Ch. A - Prob. 31E Ch. A - Prob. 32E Ch. A - Prob. 33E Ch. A - Prob. 34E Ch. A - Prob. 35E Ch. A - Prob. 36E Ch. A - Prob. 37E Ch. A - Working with linear equations Find an equation of...Ch. A - Prob. 39E Ch. A - Prob. 40E Ch. A - Prob. 41E Ch. A - Prob. 42E Ch. A - Prob. 43E Ch. A - Prob. 44E Ch. A - Prob. 45E Ch. A - Prob. 46E Ch. A - Intervals to sets Express the following intervals...Ch. A - Intervals to sets Express the following intervals...Ch. A - Prob. 49E Ch. A - Sets in the plane Graph each set in the xy-plane....

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The expression ( x + h ) 3 − x 3 h , for h ≠ 0 .

Solution Summary: The author explains how the expression (x+h)3-x3, can be expanded using the above-mentioned property.