{"id":397,"date":"2023-10-21T12:25:35","date_gmt":"2023-10-21T06:55:35","guid":{"rendered":"https:\/\/samacheer-kalvi.com\/?p=397"},"modified":"2023-11-10T10:39:20","modified_gmt":"2023-11-10T05:09:20","slug":"samacheer-kalvi-10th-maths-guide-chapter-3-ex-3-4","status":"publish","type":"post","link":"https:\/\/samacheer-kalvi.com\/samacheer-kalvi-10th-maths-guide-chapter-3-ex-3-4\/","title":{"rendered":"Samacheer Kalvi 10th Maths Guide Chapter 3 Algebra Ex 3.4"},"content":{"rendered":"

Students can download Maths Chapter 3 Algebra Ex 3.4 Questions and Answers, Notes, Samacheer Kalvi 10th Maths Guide<\/a> Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.<\/p>\n

Tamilnadu Samacheer Kalvi 10th Maths Solutions Chapter 3 Algebra Ex 3.4<\/h2>\n

Question 1.
\nReduce each of the following rational expression to its lowest form.
\n(i) \\(\\frac{x^{2}-1}{x^{2}+x}\\)
\nAnswer:
\n\\(\\frac{x^{2}-1}{x^{2}+x}\\) = \\(\\frac{(x+1)(x-1)}{x(x+1)}\\) = \\(\\frac { x-1 }{ x } \\)<\/p>\n

(ii) \\(\\frac{x^{2}-11 x+18}{x^{2}-4 x+4}\\)
\n\"Samacheer
\nx2<\/sup> – 11x + 18 = (x – 9) (x – 2)
\nx2<\/sup> – 4x + 4 = (x – 2) (x – 2)
\n\"Samacheer
\n\"Samacheer<\/p>\n

\"Samacheer<\/p>\n

(iii) \\(\\frac{9 x^{2}+81 x}{x^{3}+8 x^{2}-9 x}\\)
\n9x2<\/sup> + 81x = 9x(x + 9)
\nx3<\/sup> + 8x2<\/sup> – 9x = x(x2<\/sup> + 8x – 9)
\n= x (x + 9) (x – 1)
\n\"Samacheer<\/p>\n

(iv) \\(\\frac{p^{2}-3 p-40}{2 p^{3}-24 p^{2}+64 p}\\)
\np2<\/sup> – 3p – 40 = (p – 8) (p + 5)
\n2p3<\/sup> – 24p2<\/sup> + 64p = 2p (p2<\/sup> – 12p + 32)
\n= 2p (p – 8) (p – 4)
\n\"Samacheer
\n\"Samacheer<\/p>\n

\"Samacheer<\/p>\n

Question 2.
\nFind the excluded values , if any of the following expressions.<\/p>\n

(i) \\(\\frac{y}{y^{2}-25}\\)
\nAnswer:
\nThe expression \\(\\frac{y}{y^{2}-25}\\) is undefined
\nwhen y2<\/sup> – 25 = 0
\ny2<\/sup> – 52<\/sup> = 0
\n(y + 5) (y – 5) = 0
\ny + 5 = 0 or y – 5 = 0
\n\u2235 y = -5 or y = 5
\nThe excluded values are -5 and 5<\/p>\n

\"Samacheer<\/p>\n

(ii) \\(\\frac{t}{t^{2}-5 t+6}\\)
\nAnswer:
\nThe expression \\(\\frac{t}{t^{2}-5 t+6}\\) is undefined
\nwhen t2<\/sup> – 5t + 6 = 0
\n(t – 3) (t – 2) = 0
\n\"Samacheer
\nt – 3 = 0 or t – 2 = 0
\nt = 3 or t = 2
\nThe excluded values are 2 and 3<\/p>\n

(iii) \\(\\frac{x^{2}+6 x+8}{x^{2}+x-2}\\)
\nAnswer:
\nx2<\/sup> + 6x + 8 = (x + 4) (x + 2)
\nx2<\/sup> + x – 2 = (x + 2) (x – 1)
\n\"Samacheer
\n\"Samacheer
\nThe expression \\(\\frac { x+4 }{ x-1 } \\) is undefined
\nwhen x – 1 = 0
\n\u2235 x = 1
\nThe excluded value is 1<\/p>\n

\"Samacheer<\/p>\n

(iv) \\(\\frac{x^{3}-27}{x^{3}+x^{2}-6 x}\\)
\nx3<\/sup> – 27 = x3<\/sup> – 33<\/sup>
\n= (x – 3) (x2<\/sup> + x + 3)
\nx3<\/sup> + x2<\/sup> – 6x = x(x2<\/sup> + x – 6) = x (x + 3) (x – 2)
\n\"Samacheer
\n\"Samacheer
\nwhen x (x + 3) (x – 2) = 0
\nx = 0 or x + 3 = 0 or x – 2 = 0
\nx = 0 or x = -3 or x = 2
\nThe excluded values are 0 , -3 and 2<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can download Maths Chapter 3 Algebra Ex 3.4 Questions and Answers, Notes, Samacheer Kalvi 10th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams. Tamilnadu Samacheer Kalvi 10th Maths Solutions Chapter 3 Algebra Ex 3.4 Question …<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/samacheer-kalvi.com\/wp-json\/wp\/v2\/posts\/397"}],"collection":[{"href":"https:\/\/samacheer-kalvi.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/samacheer-kalvi.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/samacheer-kalvi.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/samacheer-kalvi.com\/wp-json\/wp\/v2\/comments?post=397"}],"version-history":[{"count":1,"href":"https:\/\/samacheer-kalvi.com\/wp-json\/wp\/v2\/posts\/397\/revisions"}],"predecessor-version":[{"id":49486,"href":"https:\/\/samacheer-kalvi.com\/wp-json\/wp\/v2\/posts\/397\/revisions\/49486"}],"wp:attachment":[{"href":"https:\/\/samacheer-kalvi.com\/wp-json\/wp\/v2\/media?parent=397"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/samacheer-kalvi.com\/wp-json\/wp\/v2\/categories?post=397"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/samacheer-kalvi.com\/wp-json\/wp\/v2\/tags?post=397"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}