Algebra
Topics

# How do you simplify (8x^2+9)/(4x^2-11)?

Oct 15, 2017

$\frac{8 {x}^{2} + 9}{4 {x}^{2} - 11} = 2 + \frac{31}{4 {x}^{2} - 11}$

#### Explanation:

$\frac{8 {x}^{2} + 9}{4 {x}^{2} - 11}$

$= \frac{8 {x}^{2} - 22 + 22 + 9}{4 {x}^{2} - 11}$

$= \frac{8 {x}^{2} - 22}{4 {x}^{2} - 11} + \frac{22 + 9}{4 {x}^{2} - 11}$

$= \frac{2 \left(4 {x}^{2} - 11\right)}{4 {x}^{2} - 11} + \frac{31}{4 {x}^{2} - 11}$

$= 2 + \frac{31}{4 {x}^{2} - 11}$

##### Impact of this question
901 views around the world
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 6, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "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, "math_score": 0.5393907427787781, "perplexity": 24895.937565810375}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2023-06/segments/1674764500154.33/warc/CC-MAIN-20230204205328-20230204235328-00860.warc.gz"}