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Jerome KeislerLeif JordanJim HefferonJames MilneLydia de WolfAnton ButenkoHung DinhKenn HuberDoli Bambhania, Rani Fischer, Lisa Mesh, and Danny TranORCCA IORCCA IIORCCA IIIDoli Bambhania, Fatemeh Yarahmadi, and Bill WilsonDoli Bambhania, Neelam R. Shukla, and Danny TranDoli Bambhania, Vinh Kha Nguyen and Jyothsna ViswanadhaVinh Kha Nguyen and Fatemeh YarahmadiVinh Kha Nguyen, Neelam R. Shukla, and Fatemeh YarahmadiMelissa HallingEmbed Hypothes.is?yesCover PageyesTOC OnlyCompile but don't publishLicensePublic DomainCC BYCC BY-SACC BY-NC-SACC BY-NDCC BY-NC-NDGNU GPLAll Rights ReservedCC BY-NCGNU FDLCK-12Show Page TOCyesnoTranscludedyesPrintOptionsNo Header/FooterNo TitleNo Header/Footer/TitleOER program or PublisherCollege of the Canyons - Zero Textbook Cost ProgramASCCC OERI ProgramCK-12OpenStaxGALILEOOpenSUNYMIT OpenCourseWareVirginia Tech Libraries' Open Education InitiativeThe Publisher Who Must Not Be NamedeCampusOntarioWAC ClearinghouseBC CampusLumenOpen OregonOpenStax CNXPDXOpenEvergreen Valley CollegeAutonumber Section Headingstitle with space delimiterstitle with colon delimiterstitle with dash delimitersLicense Version1.02.02.53.04.01.31.2Print CSSDefaultDenseVirginia TechScreen CSSDefaultVirginia TechCosmologyInclude attachmentsContent TypeDocumentImageOther Searching inAll resultsAbout 2 results8.1: Simplifying Rational Expressionshttps://math.libretexts.org/Courses/Hawaii_Community_College/Hawaii_Community_College_MA82X_Textbook/08%3A_Rational_Expressions_and_Equations/8.01%3A_Simplifying_Rational_Expressions\(\begin{aligned} \frac{4-x^{2}}{x^{2}+3 x-10} &=\frac{(2+x)\color{Cerulean}{(2-x)}}{\color{Cerulean}{(x-2)}\color{black}{(}x+5)}\qquad\qquad\quad\color{Cerulean}{The\:restrictions\:are\:x\neq2\:and\:...\(\begin{aligned} \frac{4-x^{2}}{x^{2}+3 x-10} &=\frac{(2+x)\color{Cerulean}{(2-x)}}{\color{Cerulean}{(x-2)}\color{black}{(}x+5)}\qquad\qquad\quad\color{Cerulean}{The\:restrictions\:are\:x\neq2\:and\:x\neq-5.} \\ &=\frac{(2+x) \cdot(-1)\color{Cerulean}{\cancel{\color{black}{(x-2)}}}}{\color{Cerulean}{\cancel{\color{black}{(x-2)}}}\color{black}{(x+5)}}\quad\:\color{Cerulean}{Apply\:the\:opposite\:binomial\:property,\:then\:cancel.} \\ &=\frac{(2+x) \cdot(-1)}{(x+5)} \\ &=-\frac{2+x}{x+5} \quad \…More4.3: Rational Expressions (INTRO)https://math.libretexts.org/Courses/Las_Positas_College/Foundational_Mathematics/04%3A_Fractions/4.03%3A_Rational_Expressions_(INTRO)\(\begin{aligned} \frac{4-x^{2}}{x^{2}+3 x-10} &=\frac{(2+x)\color{Cerulean}{(2-x)}}{\color{Cerulean}{(x-2)}\color{black}{(}x+5)}\qquad\qquad\quad\color{Cerulean}{The\:restrictions\:are\:x\neq2\:and\:...\(\begin{aligned} \frac{4-x^{2}}{x^{2}+3 x-10} &=\frac{(2+x)\color{Cerulean}{(2-x)}}{\color{Cerulean}{(x-2)}\color{black}{(}x+5)}\qquad\qquad\quad\color{Cerulean}{The\:restrictions\:are\:x\neq2\:and\:x\neq-5.} \\ &=\frac{(2+x) \cdot(-1)\color{Cerulean}{\cancel{\color{black}{(x-2)}}}}{\color{Cerulean}{\cancel{\color{black}{(x-2)}}}\color{black}{(x+5)}}\quad\:\color{Cerulean}{Apply\:the\:opposite\:binomial\:property,\:then\:cancel.} \\ &=\frac{(2+x) \cdot(-1)}{(x+5)} \\ &=-\frac{2+x}{x+5} \quad \…MoreShow more results
