{"id":9813,"date":"2023-12-23T16:46:53","date_gmt":"2023-12-23T11:16:53","guid":{"rendered":"https:\/\/apboardsolutions.com\/?p=9813"},"modified":"2023-12-26T09:20:19","modified_gmt":"2023-12-26T03:50:19","slug":"ap-board-8th-class-maths-notes-chapter-11","status":"publish","type":"post","link":"https:\/\/apboardsolutions.com\/ap-board-8th-class-maths-notes-chapter-11\/","title":{"rendered":"AP Board 8th Class Maths Notes Chapter 11 Algebraic Expressions"},"content":{"rendered":"<p>Students can go through <a href=\"https:\/\/apboardsolutions.com\/ap-board-8th-class-maths-notes\/\">AP Board 8th Class Maths Notes<\/a> Chapter 11 Algebraic Expressions to understand and remember the concepts easily.<\/p>\n<h2>AP State Board Syllabus 8th Class Maths Notes Chapter 11 Algebraic Expressions<\/h2>\n<p>\u2192 There are number of situations in which we need to multiply algebraic expressions.<\/p>\n<p>\u2192 A monomial multiplied by a monomial always gives a monomial.<\/p>\n<p>\u2192 While multiplying a polynomial by a monomial, we multiply every term in the polynomial by the monomial.<\/p>\n<p>\u2192 In carrying out the multiplication of an algebraic expression with another algebraic expression (monomial\/ binomial\/ trinomial etc.) we multiply term by term i.e. every term of the expression is multiplied by every term in the another expression.<\/p>\n<p>\u2192 An identity is an equation, which is true for-all values of the variables in the equation. On the other hand, an equation is true only for certain values of its variables. An equation is not an identity.<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/apboardsolutions.com\/wp-content\/uploads\/2020\/12\/AP-Board-Solutions.png\" alt=\"AP Board 8th Class Maths Notes Chapter 11 Algebraic Expressions\" width=\"196\" height=\"17\" \/><\/p>\n<p>\u2192 The following are identities:<br \/>\nI. (a + b)<sup>2<\/sup> = a<sup>2<\/sup> + 2ab + b<sup>2<\/sup><br \/>\nII. (a &#8211; b)<sup>2<\/sup> = a<sup>2<\/sup> &#8211; 2ab + b<sup>2<\/sup><br \/>\nIII. (a + b) (a -b) = a<sup>2<\/sup> &#8211; b<sup>2<\/sup><br \/>\nIV. (x + a) (x + b) = x<sup>2<\/sup> + (a + b)x + ab<\/p>\n<p>\u2192 The above four identities are useful in carrying out squares and products of algebraic expressions. They also allow easy alternative methods to calculate products of numbers and so on.<br \/>\nNote:<br \/>\nWe know that<br \/>\n(+) \u00d7 (+) = +<br \/>\n(+) \u00d7 (-) = \u2013<br \/>\n(-) \u00d7 (+) = \u2013<br \/>\n(-) \u00d7 (-) = +<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Students can go through AP Board 8th Class Maths Notes Chapter 11 Algebraic Expressions to understand and remember the concepts easily. AP State Board Syllabus 8th Class Maths Notes Chapter 11 Algebraic Expressions \u2192 There are number of situations in which we need to multiply algebraic expressions. \u2192 A monomial multiplied by a monomial always &#8230; <a title=\"AP Board 8th Class Maths Notes Chapter 11 Algebraic Expressions\" class=\"read-more\" href=\"https:\/\/apboardsolutions.com\/ap-board-8th-class-maths-notes-chapter-11\/\" aria-label=\"More on AP Board 8th Class Maths Notes Chapter 11 Algebraic Expressions\">Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[6],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/9813"}],"collection":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/comments?post=9813"}],"version-history":[{"count":1,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/9813\/revisions"}],"predecessor-version":[{"id":50218,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/9813\/revisions\/50218"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/media?parent=9813"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/categories?post=9813"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/tags?post=9813"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}