Explanation Given Information: The expression is − 3 x 2 ( x 2 − 4 ) ( x 2 + 4 ) . Formula used: The distributive property of multiplication states that, A ( B + C ) = A B + A C And, A ( B − C ) = A B − A C For a non-zero, real number a and any integers m and n , the product of like bases is given as; a m ⋅ a n = a m + n And, the identity, ( A − B ) ( A + B ) = A 2 − B 2 Calculation: Consider the expression, − 3 x 2 ( x 2 − 4 ) ( x 2 + 4 ) …...…... (1) Consider a part of the expression, ( x 2 − 4 ) ( x 2 + 4 ) Now, use the identity ( A − B ) ( A + B ) = A 2 − B 2 ; ( x 2 − 4 ) ( x 2 + 4 ) = ( x 2 ) 2 − ( 4 ) 2 = x 4 − 16 …

19th Edition

ISBN: 9780136572671

Author: BITTINGER

Publisher: PEARSON C

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Chapter A, Problem 80E

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To calculate: The simplified form of the expression −3x2(x2−4)(x2+4).

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Chapter A, Problem 79E

Chapter A, Problem 81E

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The simplified form of the expression − 3 x 2 ( x 2 − 4 ) ( x 2 + 4 ) .

Solution Summary: The author calculates the simplified form of the expression underset_-3x6+48. The distributive property of multiplication states that, A(B+C)=

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To calculate: The simplified form of the expression −3x2(x2−4)(x2+4).

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