Verify the following polynomial identity by stating the second step of the distribution process? (x+y+z)(x + y - z) = x² + 2xy + y² - z² Oxz+z+xy Oxy + y² - yz O xy+xz+z² Ox² - y² + y

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Verify the following polynomial identity by stating the second step of the distribution process:**

\[
(x + y + z)(x + y - z) = x^2 + 2xy + y^2 - z^2
\]

**Options:**

- \( \circ \) \( xz + z^2 + xy^2 \)

- \( \circ \) \( xy + y^2 - yz \)

- \( \circ \) \( xy + xz + z^2 \)

- \( \circ \) \( x^2 - y^2 + y \)
Transcribed Image Text:**Verify the following polynomial identity by stating the second step of the distribution process:** \[ (x + y + z)(x + y - z) = x^2 + 2xy + y^2 - z^2 \] **Options:** - \( \circ \) \( xz + z^2 + xy^2 \) - \( \circ \) \( xy + y^2 - yz \) - \( \circ \) \( xy + xz + z^2 \) - \( \circ \) \( x^2 - y^2 + y \)
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