### Home > PC3 > Chapter 3 > Lesson 3.1.1 > Problem3-12

3-12.

Simplify the following expressions.

1. $\large \frac { ( x + 2 ) ^ { 3 } } { ( x + 2 ) }$

Rewrite the numerator as $(x+2)(x+2)(x+2)$.

1. $\large \frac { x ^ { 2 } - 5 x + 6 } { ( x - 2 ) ^ { 2 } }$

Factor and simplify.

1. $\large \frac { 2 x ^ { 2 } - 2 y ^ { 2 } } { x + y }$

Factor out 2 in the numerator first and then factor again.
{"ft_lang_label":"__label__en","ft_lang_prob":0.7327053,"math_prob":0.9998933,"size":342,"snap":"2023-14-2023-23","text_gpt3_token_len":86,"char_repetition_ratio":0.17751479,"word_repetition_ratio":0.5185185,"special_character_ratio":0.25146198,"punctuation_ratio":0.14925373,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99894303,"pos_list":[0,1,2,3,4],"im_url_duplicate_count":[null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-05-29T16:46:49Z\",\"WARC-Record-ID\":\"<urn:uuid:90c00f04-fcb0-40b4-ac36-9dc514c6b7c6>\",\"Content-Length\":\"35600\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:1a147e50-2cb6-462e-adda-4b9e0e523f61>\",\"WARC-Concurrent-To\":\"<urn:uuid:055a3229-e9de-44f3-9a1e-68a710552563>\",\"WARC-IP-Address\":\"172.67.70.60\",\"WARC-Target-URI\":\"https://homework.cpm.org/category/CCI_CT/textbook/pc3/chapter/3/lesson/3.1.1/problem/3-12\",\"WARC-Payload-Digest\":\"sha1:W6SCGXGAOA6O4GP6UQ5VZQZP4VUPBXLS\",\"WARC-Block-Digest\":\"sha1:6HLPUV6DK5AFW63FKJYX6WQ5X5G7ZED7\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-23/CC-MAIN-2023-23_segments_1685224644867.89_warc_CC-MAIN-20230529141542-20230529171542-00048.warc.gz\"}"}