Explanation Given: The expression is [ 5 x ( 3 x + 1 ) − 5 ( 2 x − 1 ) 2 ] 2 . Definition used : Order of Operations Multiplication and division precede addition and subtraction, and taking powers precedes multiplication and division. “Remove parentheses ( ) first, then brackets [ ], and finally braces { }, if present”. Calculation: By using the above mentioned definition, simplify the term [ 5 x ( 3 x + 1 ) − 5 ( 2 x − 1 ) 2 ] 2 as follows. [ 5 x ( 3 x + 1 ) − 5 ( 2 x − 1 ) 2 ] 2 = [ 15 x 2 + 5 x − 5 ( ( 2 x ) 2 − 2 ( 2 x ) ( 1 ) + 1 2 ) ] 2 = [ 15 x 2 + 5 x − 5 ( 4 x 2 − 4 x + 1 ) ] 2 [ Remove bracket ] = [ 15 x 2 + 5 x − 20 x 2 + 20 x − 5 ] 2 Ȁ

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ISBN: 9780134856667

Author: Stocker

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Chapter A.2, Problem 48E

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The simplified form of the expression [5x(3x+1)−5(2x−1)2]2.

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Chapter A.2, Problem 47E

Chapter A.2, Problem 49E

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The simplified form of the expression [ 5 x ( 3 x + 1 ) − 5 ( 2 x − 1 ) 2 ] 2 .

Solution Summary: The author explains the simplified form of the expression left[5x+1right]2.

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The simplified form of the expression [5x(3x+1)−5(2x−1)2]2.

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Chapter A.2 Solutions