Chad was asked whether the following equation is an identity: (3z + 2y)? = (3z + 2y)(3z – 2y) + 2(2y)² He performed the following steps: (3z + 2y)² Step 1 = 922 + 4y? Step 2 = 9z² + 4y² + 4y² – 4y? Step 3 (9z² – 4y²) + 8y² Step 4 (3z + 2y)(3z – 2y) + 2(2y)² For this reason, Chad stated that the equation is a true identity. Is Chad correct? If not, in which step did he make a mistake?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.1: Verifying Trigonometric Identities
Problem 55E
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Chad was asked whether the following equation is an identity:
(3z + 2y)? = (3z + 2y)(3z – 2y) + 2(2y)²
He performed the following steps:
(3z + 2y)²
Step 1 = 922 + 4y?
Step 2
= 9z² + 4y² + 4y² – 4y?
Step 3
(9z² – 4y²) + 8y²
Step 4
(3z + 2y)(3z – 2y) + 2(2y)²
For this reason, Chad stated that the equation is a true identity.
Is Chad correct? If not, in which step did he make a mistake?
Transcribed Image Text:Chad was asked whether the following equation is an identity: (3z + 2y)? = (3z + 2y)(3z – 2y) + 2(2y)² He performed the following steps: (3z + 2y)² Step 1 = 922 + 4y? Step 2 = 9z² + 4y² + 4y² – 4y? Step 3 (9z² – 4y²) + 8y² Step 4 (3z + 2y)(3z – 2y) + 2(2y)² For this reason, Chad stated that the equation is a true identity. Is Chad correct? If not, in which step did he make a mistake?
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