Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.1: Review Of Real Numbers And Their Properties
Problem 11ECP
Related questions
Question
Transcribed Image Text:What is the quotient in simplest form? State any restrictions on the variable
z+2
22+z-12
Expert Solution
Step 1
Solution )[( z2 - 4 )/ ( z - 3 )]/[(z + 2)/( z2 + z - 12)]
[( z2 - 22 ) ( z2 + z - 12 )/ ( z - 3 )(z + 2) ]
= ( z + 2 ) ( z - 2 ) ( z2 +4z - 3z - 12 )/ ( z - 3 ) ( z + 2)
= ( z + 2 ) ( z - 2 )[ z ( z + 4 ) - 3( z + 4 )]/(z - 3 )(z+2)
= ( z + 2 ) ( z - 2 )(z -3)( z + 4) / ( z - 3 ) ( z + 2)
= ( z - 2 ) ( z + 4 )
= z2 +4z - 2z - 8
= z2 + 2z - 8
There is no restriction in variable
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