{"id":50724,"date":"2021-05-22T15:35:02","date_gmt":"2021-05-22T10:05:02","guid":{"rendered":"https:\/\/samacheerkalviguru.com\/?p=50724"},"modified":"2021-05-28T19:00:04","modified_gmt":"2021-05-28T13:30:04","slug":"samacheer-kalvi-10th-maths-guide-chapter-3-ex-3-2-in-tamil","status":"publish","type":"post","link":"https:\/\/samacheerkalviguru.com\/samacheer-kalvi-10th-maths-guide-chapter-3-ex-3-2-in-tamil\/","title":{"rendered":"Samacheer Kalvi 10th Maths Guide Chapter 3 \u0b87\u0baf\u0bb1\u0bcd\u0b95\u0ba3\u0bbf\u0ba4\u0bae\u0bcd Ex 3.2"},"content":{"rendered":"

Tamilnadu State Board New Syllabus\u00a0Samacheer Kalvi 10th Maths Guide<\/a> Pdf Chapter 3 \u0b87\u0baf\u0bb1\u0bcd\u0b95\u0ba3\u0bbf\u0ba4\u0bae\u0bcd Ex 3.2 Textbook Questions and Answers, Notes.<\/p>\n

TN Board 10th Maths Solutions Chapter 3 \u0b87\u0baf\u0bb1\u0bcd\u0b95\u0ba3\u0bbf\u0ba4\u0bae\u0bcd Ex 3.2<\/h2>\n

\"Samacheer<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 1.
\n\u0b95\u0bc0\u0bb4\u0bcd\u0b95\u0bcd\u0b95\u0bbe\u0ba3\u0bc1\u0bae\u0bcd \u0baa\u0bb2\u0bcd\u0bb2\u0bc1\u0bb1\u0bc1\u0baa\u0bcd\u0baa\u0bc1\u0b95\u0bcd \u0b95\u0bcb\u0bb5\u0bc8\u0b95\u0bb3\u0bbf\u0ba9\u0bcd \u0bae\u0bc0.\u0baa\u0bca.\u0bb5 \u0b95\u0bbe\u0ba3\u0bcd\u0b95
\ni) x4<\/sup> + 3x3<\/sup> – x – 3, x4<\/sup> + x2<\/sup> – 5x + 3
\nii) x4<\/sup> – 1, x3<\/sup> – 11x2<\/sup> + x – 11
\niii) 3x4<\/sup> + 6x3<\/sup> – 12x2<\/sup> – 24x, 4x4<\/sup> + 14x3<\/sup> + 8x2<\/sup> – 8x
\niv) 3x3<\/sup> + 3x2<\/sup> + 3x + 3, 6x3<\/sup> + 12x2<\/sup> + 6x + 12 \u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 :
\ni)
\n\"Samacheer
\n\u0bae\u0bc0\u0ba4\u0bbf = 3x2<\/sup> + 6x – 9
\n= 3(x2<\/sup> + 2x – 3)
\n\"Samacheer
\n\u0bae\u0bc0\u0ba4\u0bbf = 0
\nx4<\/sup> + 3x3<\/sup> – x – 3 \u0bae\u0bb1\u0bcd\u0bb1\u0bc1\u0bae\u0bcd x3<\/sup> + x2<\/sup> – 5x +3\u0ba9\u0bcd \u0bae\u0bc0.\u0baa\u0bca.\u0bb5
\nx3<\/sup> + 2x – 3<\/p>\n

ii)
\n\"Samacheer<\/p>\n

\u0bae\u0bc0\u0ba4\u0bbf = 120x2<\/sup> + 0x + 120
\n= 120 (x2<\/sup> + 0x + 1)<\/p>\n

\"Samacheer
\n\u0bae\u0bc0\u0ba4\u0bbf = 0
\nx4<\/sup> – 1, x3<\/sup> – 11x2<\/sup> + x – 11\u0ba9\u0bcd \u0bae\u0bc0.\u0baa\u0bca.\u0bb5 x2<\/sup> + 1<\/p>\n

iii) 3x4<\/sup> + 6x3<\/sup> – 12x2<\/sup> – 24x = 3x (x3<\/sup> + 2x2<\/sup> – 4x – 8)
\n4x4<\/sup> + 14x3<\/sup> + 8x2<\/sup> – 8x = 2 x (2x3<\/sup> + 7x2<\/sup> + 4x – 4)
\nWKT, 3x, 2x \u0ba9\u0bcd \u0bae\u0bc0.\u0baa\u0bca.\u0bb5 x
\n\"Samacheer
\n\u0bae\u0bc0\u0ba4\u0bbf = 3x2<\/sup> + 12x + 12
\n= 3 (x2<\/sup> + 4x + 4)<\/p>\n

\"Samacheer<\/p>\n

iv) 3x3<\/sup> + 3x2<\/sup> + 3x + 3 = 3 (x3<\/sup> + x2 + x + 1)
\n6x3<\/sup> + 12x2<\/sup> + 6x + 12 = 6 (x3<\/sup> + 2x2<\/sup> + x + 2) WKT, 3, \u0b8e\u0ba9\u0bcd \u0bae\u0bc0.\u0baa\u0bca.\u0bb5 3
\n\"Samacheer
\n\u0bae\u0bc0\u0ba4\u0bbf = 0
\n\u2234 (x3<\/sup> + x2<\/sup> + x + 1, x3<\/sup> + 2x2<\/sup> + x + 2) \u0ba9\u0bcd \u0bae\u0bc0.\u0baa\u0bca.\u0bb5\u0bbe x2<\/sup> + 1
\n\u2234 3x3<\/sup> + 3x2<\/sup> + 3x + 3 \u0bae\u0bb1\u0bcd\u0bb1\u0bc1\u0bae\u0bcd 6x3<\/sup> + 12x2<\/sup> + 6x + 12 \u0ba9\u0bcd \u0bae\u0bc0.\u0baa\u0bca.\u0bb5 3 (x2<\/sup> + 1)<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 2.
\n\u0baa\u0bbf\u0ba9\u0bcd\u0bb5\u0bb0\u0bc1\u0bb5\u0ba9\u0bb5\u0bb1\u0bcd\u0bb1\u0bbf\u0bb1\u0bcd\u0b95\u0bc1 \u0bae\u0bc0.\u0baa\u0bca.\u0bae \u0b95\u0bbe\u0ba3\u0bcd\u0b95.
\ni) 4x2<\/sup>y, 8x3<\/sup>y2<\/sup>
\nii) 9a3<\/sup>b2<\/sup>, 12a2<\/sup>2b2<\/sup>2c
\niii) 16m, – 12m2<\/sup> n2<\/sup>, 8n2<\/sup>
\niv) p2<\/sup> – 3p + 2, p2<\/sup> -4
\nv) 2x2<\/sup> – 5x – 3, 4x2<\/sup> – 36
\nvi) (2x2<\/sup> – 3xy)2<\/sup>, (4x – 6y)3<\/sup>, 8x3<\/sup> – 27y3<\/sup>
\n\u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 :
\ni) \u0bae\u0bc0.\u0baa\u0bca.\u0bae (4, 8) = 8
\n\u0bae\u0bc0.\u0baa\u0bca.\u0bae (x2<\/sup>y, x3<\/sup>y2<\/sup>) = x3<\/sup>y2<\/sup>
\n\u2234 \u0bae\u0bc0.\u0baa\u0bca.\u0bae (4x2<\/sup> y, 8x3<\/sup> y2<\/sup>) = 8x3<\/sup>y2<\/sup><\/p>\n

ii) \u0bae\u0bc0.\u0baa\u0bca.\u0bae (9, 12) = 36
\n\u0bae\u0bc0.\u0baa\u0bca.\u0bae (a3<\/sup> b2<\/sup>, a2<\/sup>b2<\/sup>c) = a3<\/sup> b2<\/sup>c
\n\u2234 \u0bae\u0bc0.\u0baa\u0bca.\u0bae (9a3<\/sup> b2<\/sup>, 12a2<\/sup>b2<\/sup>c) = 36a3<\/sup>b2<\/sup>c<\/p>\n

iii) \u0bae\u0bc0.\u0baa\u0bca.\u0bae (16, 12, 8) = 48
\n\u0bae\u0bc0.\u0baa\u0bca.\u0bae (m, m2<\/sup> n2<\/sup>, n2<\/sup>) = m2<\/sup> n2<\/sup>
\n\u2234 \u0bae\u0bc0.\u0baa\u0bca.\u0bae (16m, 12m2<\/sup> n2<\/sup>, 8n2<\/sup>)
\n= 48m2<\/sup> n2<\/sup><\/p>\n

\"Samacheer<\/p>\n

iv) p2<\/sup> – 3p + 2 = (p – 1) (p – 2)
\np2<\/sup> – 4 = (p + 2) (p – 2)
\n\u2234 \u0bae\u0bc0.\u0baa\u0bca.\u0bae = (p – 2)(p+2)(p-1) (\u0b85\u0bb2\u0bcd\u0bb2\u0ba4\u0bc1)
\n= (p2<\/sup> – 4) (p – 1) |<\/p>\n

v) 2x2<\/sup> – 5x – 3 = (x – 3) (2x + 1)
\n4x2<\/sup> – 36 = 4 (x2<\/sup> – 9)
\n= 4(x + 3) (x – 3)
\n\u2234 \u0bae\u0bc0.\u0baa\u0bca .\u0bae = 4(x – 3) (x + 3) (2x + 1)<\/p>\n

vi) (2x2<\/sup> – 3xy)2<\/sup> = 4x4<\/sup> – 12x3<\/sup>y + 9x2<\/sup>y2<\/sup>
\n= x2<\/sup> (4×2 -12xy + 9y) |
\n=x2 (2x – 3y)2<\/sup> — (1)
\n(4x – 6y)3<\/sup> = 64x3<\/sup> – 288x2<\/sup>y + 432xy2<\/sup> +216y3<\/sup>
\n= 8(8x3<\/sup> – 36x2<\/sup>y + 54xy2<\/sup> + 27y3<\/sup>)
\n=8 (2x – 3y)3<\/sup> — (2)
\n8x3<\/sup> – 27y3<\/sup> = (23)3<\/sup> – (3y)3<\/sup>
\n= (2x – 3y) (4x2<\/sup> + 6xy + 9y2<\/sup>) –(3)
\n(1), (2) & (3) \u0bb2\u0bbf\u0bb0\u0bc1\u0ba8\u0bcd\u0ba4\u0bc1
\n\u0bae\u0bc0.\u0baa\u0bca.\u0bae = 8x2<\/sup> (2x – 3y)3<\/sup> (4x2<\/sup> + 6xy + 9y2<\/sup>)<\/p>\n","protected":false},"excerpt":{"rendered":"

Tamilnadu State Board New Syllabus\u00a0Samacheer Kalvi 10th Maths Guide Pdf Chapter 3 \u0b87\u0baf\u0bb1\u0bcd\u0b95\u0ba3\u0bbf\u0ba4\u0bae\u0bcd Ex 3.2 Textbook Questions and Answers, Notes. TN Board 10th Maths Solutions Chapter 3 \u0b87\u0baf\u0bb1\u0bcd\u0b95\u0ba3\u0bbf\u0ba4\u0bae\u0bcd Ex 3.2 \u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 1. \u0b95\u0bc0\u0bb4\u0bcd\u0b95\u0bcd\u0b95\u0bbe\u0ba3\u0bc1\u0bae\u0bcd \u0baa\u0bb2\u0bcd\u0bb2\u0bc1\u0bb1\u0bc1\u0baa\u0bcd\u0baa\u0bc1\u0b95\u0bcd \u0b95\u0bcb\u0bb5\u0bc8\u0b95\u0bb3\u0bbf\u0ba9\u0bcd \u0bae\u0bc0.\u0baa\u0bca.\u0bb5 \u0b95\u0bbe\u0ba3\u0bcd\u0b95 i) x4 + 3×3 – x – 3, x4 + x2 – 5x + 3 ii) x4 – …<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","footnotes":""},"categories":[2],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/posts\/50724"}],"collection":[{"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/comments?post=50724"}],"version-history":[{"count":0,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/posts\/50724\/revisions"}],"wp:attachment":[{"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/media?parent=50724"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/categories?post=50724"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/tags?post=50724"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}