## Precalculus (6th Edition)

Published by Pearson

# Chapter 1 - Equations and Inequalities - 1.3 Complex Numbers - 1.3 Exercises - Page 112: 71

#### Answer

$(2+i)(2-i)(4+3i)=20+15i$

#### Work Step by Step

$(2+i)(2-i)(4+3i)$ Begin by evaluating the product between the first two factors. The product of the first two factors represents the factored form of a difference of two squares. $(2+i)(2-i)(4+3i)=(4-i^{2})(4+3i)=...$ Substitute $i^{2}$ by $-1$ and simplify the first factor: $...=[4-(-1)](4+3i)=(4+1)(4+3i)=5(4+3i)=...$ Evaluate the remaining product: $...=20+15i$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
{"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "https://www.gradesaver.com/textbooks/math/precalculus/precalculus-6th-edition/chapter-1-equations-and-inequalities-1-3-complex-numbers-1-3-exercises-page-112/71", "fetch_time": 1537957339000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2018-39/segments/1537267164750.95/warc/CC-MAIN-20180926101408-20180926121808-00131.warc.gz", "warc_record_offset": 748843560, "warc_record_length": 13655, "token_count": 233, "char_count": 738, "score": 4.28125, "int_score": 4, "crawl": "CC-MAIN-2018-39", "snapshot_type": "longest", "language": "en", "language_score": 0.860138475894928, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00026-of-00064.parquet"}