{"id":4683,"date":"2020-09-09T12:22:34","date_gmt":"2020-09-09T06:52:34","guid":{"rendered":"https:\/\/kseebsolutions.guru\/?p=4683"},"modified":"2021-07-02T15:03:35","modified_gmt":"2021-07-02T09:33:35","slug":"kseeb-solutions-class-8-maths-chapter-4-ex-4-1","status":"publish","type":"post","link":"https:\/\/kseebsolutions.guru\/kseeb-solutions-class-8-maths-chapter-4-ex-4-1\/","title":{"rendered":"KSEEB Solutions for Class 8 Maths Chapter 4 Factorisation Ex 4.1"},"content":{"rendered":"

Students can Download Maths Chapter 4 Factorisation Ex 4.1 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 8 Maths<\/a> helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.<\/p>\n

Karnataka Board Class 8 Maths Chapter 4 Factorisation Ex 4.1<\/h2>\n

1. Resolve into factors.<\/p>\n

Question i.
\nx\u00b2 + xy
\nAnswer:
\nx\u00b2 + xy = x(x + y)<\/p>\n

Question ii.
\n3x\u00b2 – 6x
\nAnswer:
\n3x\u00b2 – 6x = 3x (x – 2)<\/p>\n

Question iii.
\n(1.6)a\u00b2 – (0.8)a
\nAnswer:
\n(1.6)\u00b2 – (0.8)a
\n= (0.8 x 2a\u00b2) – (0.8)a
\n= 0. 8a(2a- 1)<\/p>\n

Question iv.
\n5 – 10m – 20n
\nAnswer:
\n5 – 10m -20n = 5(1 – 2m – 4n)<\/p>\n

2. Froctorise:<\/p>\n

Question i.
\na\u00b2 + ax + ab + bx
\nAnswer:
\na\u00b2 + ax + ab + bx a(a + x) + b(a + x)
\n(a + x)(a + b)<\/p>\n

Question ii.
\n3ac + 7bc – 3ad – 7bd
\nAnswer:
\n3ac + 7bc – 3ad – 7bd
\nc(3a + 7b – d(3a + 7b) (3a + 7b) (c-d)<\/p>\n

Question iii.
\n3xy – 6zy – 3xt + 6zt
\nAnswer:
\n3y (x – 2z) – 3t(x – 2z)
\n(x – 2z) (3y – 3t)<\/p>\n

Question iv.
\ny3 + 3y\u00b2 + 2y – 6 – xy + 3x
\nAnswer:
\ny\u00b2 (y – 3) + 2(y – 3) – x(y – 3)
\n(y- 3) (y\u00b2 + 2 – x)<\/p>\n

3. Factorise:<\/p>\n

Question i.
\n4a\u00b2 – 25
\nAnswer:
\n4a\u00b2 – 25
\n= (2a)\u00b2 – 52
\n[a\u00b2 – b\u00b2=(a+b)(a-b)]
\n= (2a + 5)(2a – 5)<\/p>\n

Question ii.
\n\\(x^{2}-\\frac{9}{16}\\)
\nAns.
\n\"KSEEB<\/p>\n

Question iii.
\nx4<\/sup> – y4
\nAnswer:
\nx4<\/sup> \u2013 y4<\/sup>
\n= (x\u00b2)\u00b2 \u2013 (y\u00b2)\u00b2
\nIdentity a\u00b2 \u2013 b\u00b2 = (a + b)(a \u2013 b)
\n= (x\u00b2 + y\u00b2)(x\u00b2 \u2013 y\u00b2)
\n= (x\u00b2+ y\u00b2)(x + y)(x \u2013 y)<\/p>\n

Question iv.
\n\\(\\left(7 \\frac{3}{10}\\right)^{2}-\\left(2 \\frac{1}{10}\\right)^{2}\\)
\nAns.
\n\"KSEEB
\n\"KSEEB<\/p>\n

Question v.
\n(0.7)\u00b2 – (0.3)\u00b2
\nAnswer:
\n(0.7)\u00b2 – (0.3)\u00b2
\nIdentity a\u00b2 – b\u00b2 = (a + b)(a – b)
\n= (0.7 + 0.3)(0.7 – 0.3)
\n= (1.0)(0.4)
\n= 0.4<\/p>\n

Question vi.
\n(5a-2b)\u00b2-(2a-b)\u00b2
\nAnswer:
\n(5a-2b)\u00b2 – (2a-b)\u00b2
\nIdentity a\u00b2 \u2013 b\u00b2 = (a + b)(a \u2013 b)
\n= [5a \u2013 2b + 2a \u2013 b]
\n= [5a \u2013 2b \u2013 (2a \u2013 b)]
\n= (7a \u2013 3b)[5a \u2013 2b \u2013 2a + b]
\n= (7a \u2013 3b)(3a \u2013 b)<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can Download Maths Chapter 4 Factorisation Ex 4.1 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 8 Maths helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations. Karnataka Board Class 8 Maths Chapter 4 Factorisation Ex 4.1 1. Resolve into factors. Question i. x\u00b2 + …<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/4683"}],"collection":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/comments?post=4683"}],"version-history":[{"count":0,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/4683\/revisions"}],"wp:attachment":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/media?parent=4683"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/categories?post=4683"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/tags?post=4683"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}