How do you simplify ((4x+16)/(x / (x+4)))?

Aug 25, 2016

$\frac{4}{x} {\left(x + 4\right)}^{2}$
$\left(\frac{4 x + 16}{\frac{x}{x + 4}}\right) = \frac{\left(4 x + 16\right) \left(x + 4\right)}{x}$
$= \frac{4}{x} \left(x + 4\right) \left(x + 4\right)$
$= \frac{4}{x} {\left(x + 4\right)}^{2}$
{"ft_lang_label":"__label__en","ft_lang_prob":0.57188845,"math_prob":1.00001,"size":214,"snap":"2019-43-2019-47","text_gpt3_token_len":60,"char_repetition_ratio":0.12857144,"word_repetition_ratio":0.0,"special_character_ratio":0.30373833,"punctuation_ratio":0.1,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":1.0000073,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-10-22T05:18:00Z\",\"WARC-Record-ID\":\"<urn:uuid:e7c5a1a3-f41f-429b-bcdc-d7b9c64f2793>\",\"Content-Length\":\"32278\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:25a2bac6-2ed4-4825-9107-adfb040a8592>\",\"WARC-Concurrent-To\":\"<urn:uuid:2ba3d620-ed0f-4e8b-a413-5e6717b21a5c>\",\"WARC-IP-Address\":\"54.221.217.175\",\"WARC-Target-URI\":\"https://socratic.org/questions/how-do-you-simplify-4x-16-x-x-4\",\"WARC-Payload-Digest\":\"sha1:4UHYRR6F7YKPSZ2TLY46QXUKWVN75IFM\",\"WARC-Block-Digest\":\"sha1:XUJTH5KEYMLKOA2FZQZXK5NCP7TRGRML\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-43/CC-MAIN-2019-43_segments_1570987798619.84_warc_CC-MAIN-20191022030805-20191022054305-00343.warc.gz\"}"}