Solving algebraic problems get easy with readily available expressions. These expressions are knows as algebraic identities or rules which makes the job of a person easy, fast and reduces the chances of error. Below are most commonly used algebraic identities:<\/p>\n
Square of a Binomial<\/strong><\/p>\n (a + b)2<\/sup> = a2<\/sup> + 2ab + b2<\/sup><\/p>\n Example: (x + 4)2<\/sup> = x2<\/sup> + 2 \u00d7 x \u00d7 4 + 42<\/sup> = x2<\/sup> + 8 x + 16<\/p>\n (a – b)2<\/sup> = a2<\/sup> – 2ab + b2<\/sup><\/p>\n Example: (x \u2013 5)2<\/sup> = x2<\/sup> – 2 \u00d7 x \u00d7 5 + 52<\/sup> = x2<\/sup> + 10 x + 25<\/p>\n Difference of Squares<\/strong><\/p>\n (a + b)(a \u2013 b) = a2<\/sup> \u2013 b2<\/sup><\/p>\n (x + 3)(x – 3) = x2<\/sup> \u2013 32<\/sup> = x2<\/sup> – 9<\/p>\n Cube of a Binomial <\/strong><\/p>\n (a + b)3<\/sup> = a3<\/sup> + 3a2<\/sup>b + 3ab2<\/sup> + b3<\/sup><\/p>\n Example: (x + 2)3 = x3<\/sup> + 3 \u00d7 x2<\/sup> \u00d7 2 + 3 \u00d7 x \u00d7 22<\/sup> + 23<\/sup> = x3<\/sup> + 6x2<\/sup> + 12x + 8<\/p>\n (a \u2013 b)3<\/sup> = a3<\/sup> \u2013 3a2<\/sup>b + 3ab2<\/sup> \u2013 b3<\/sup><\/p>\n Example: (x \u2013 4)3 = x3<\/sup> \u2013 3 \u00d7 x2<\/sup> \u00d7 4 + 3 \u00d7 x \u00d7 42<\/sup> \u2013 43 <\/sup>= x3<\/sup> \u2013 12x2<\/sup> + 48x \u2013 64<\/p>\n Sum of Cubes<\/strong><\/p>\n a3<\/sup> + b3<\/sup> = (a + b)(a2<\/sup> \u2013 ab + b2<\/sup>)<\/p>\n Example: x3<\/sup> + 8 = x3<\/sup> + 23<\/sup> = (x + 2)(x2<\/sup> \u2013 2x + 22<\/sup>) = (x + 2)(x2<\/sup> \u2013 2x + 4)<\/p>\n Difference of cubes<\/strong><\/p>\n a3<\/sup> \u2013 b3<\/sup> = (a \u2013 b)(a2<\/sup> + ab + b2<\/sup>)<\/p>\n x3<\/sup> \u2013 27 = x3<\/sup> \u2013 33<\/sup> = (x – 3)(x2<\/sup> + 3x + 32<\/sup>) = (x – 3)(x2<\/sup> + 3x + 9)<\/p>\n SchoolTutoring Academy is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college.<\/p>\n","protected":false},"excerpt":{"rendered":" Solving algebraic problems get easy with readily available expressions. These expressions are knows as algebraic identities or rules which makes the job of a person easy, fast and reduces the chances of error. Below are most commonly used algebraic identities: Square of a Binomial (a + b)2 = a2 + 2ab + b2 Example: (x […]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[2,13],"tags":[79,80],"class_list":["post-879","post","type-post","status-publish","format-standard","hentry","category-algebra","category-pre-algebra","tag-algebraicidentities","tag-algebraicrules"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/879","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/comments?post=879"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/879\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/media?parent=879"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/categories?post=879"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/tags?post=879"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}