Prove the following using a direct proof. Your proof should be expressed in com- plete English sentences. If a, b, and care integers such that b is a multiple of a³ and cis a multiple of b², then c is a multiple of aº.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.4: Multiplying Binomials Mentally
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Please express the proof in complete English sentences. Thanks in advance

Prove the following using a direct proof. Your proof should be expressed in com-
plete English sentences.
If a, b, and care integers such that b is a multiple of a³ and cis a multiple of b²,
then c is a multiple of a.
Transcribed Image Text:Prove the following using a direct proof. Your proof should be expressed in com- plete English sentences. If a, b, and care integers such that b is a multiple of a³ and cis a multiple of b², then c is a multiple of a.
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