Like terms are the mathematical terms with the same bases and same exponents.<\/p>\n
The process of adding\/subtracting the like terms is mostly used while doing the operations on polynomials<\/a>.<\/p>\n Example:<\/span><\/strong><\/p>\n 2x<\/strong> and 3x<\/strong> are like terms.<\/p>\n x^3<\/strong> \u00a0and 2x^3<\/strong> are like terms.<\/p>\n x^2<\/strong> and x^2y^2<\/strong> are not like terms because the second term is including y also which is not there in the first term.<\/p>\n While adding or subtracting the like terms, we operate on the coefficients keeping the variable base and powers same.<\/p>\n Usually we need to add\/subtract the like terms while operating with the polynomials.<\/p>\n Example 1:<\/span><\/strong><\/p>\n Simplify 3x + 2x<\/strong>.<\/p>\n Solution:<\/span><\/strong><\/em><\/p>\n Here 3x<\/strong> and 2x<\/strong> are like terms because they have same base(x<\/strong>).<\/p>\n While adding we need to consider only the coefficients and so we get 3+2 = 5<\/strong> for the base is x<\/strong>.<\/p>\n So 3x+2x = 5x<\/strong>.<\/p>\n Example 2 :<\/span><\/strong><\/p>\n Simplify 2×2 + 4×2<\/strong>.<\/p>\n Solution:<\/span><\/strong><\/em><\/p>\n Here 2×2<\/strong> and 4×2<\/strong> are like terms because they have same base(x<\/strong>) and the same power(2<\/strong>).<\/p>\n While adding we need to consider only the coefficients and so we get 2+4 = 6<\/strong> for the term x^2<\/strong>.<\/p>\n So, 2×2 + 4×2 = 6×2<\/strong>.<\/p>\n Example 3:<\/span><\/strong><\/p>\n Simplify 3x + 5 -2<\/strong>x.<\/p>\n Solution:<\/span><\/strong><\/em><\/p>\n Here 3x<\/strong> and 2x<\/strong> are like terms because they have same base(x<\/strong>).<\/p>\n So, we write 3x + 5 -2x = (3x-2x)+5<\/strong><\/p>\n While adding we need to consider only the coefficients and so we get 3-2 = 1<\/strong> for the base x<\/strong>.<\/p>\n So, 3x+5 \u2013 2x = 1x + 5 = x+5<\/strong>.<\/p>\n Example 4:<\/span><\/strong><\/p>\n Simplify 4x + 6 + x -8<\/strong>.<\/p>\n Solution:<\/span><\/strong><\/em><\/p>\n Here 4x<\/strong> and x<\/strong> are like terms because they have same base(x<\/strong>).<\/p>\n Here 6<\/strong> and -8<\/strong> are like terms because they both are constants.<\/p>\n So, we can write 4x + 6 + x -8 = (4x+x) + (6-8)<\/strong><\/p>\n While adding we need to consider only the coefficients and so we get<\/p>\n 4+1 = 5<\/strong> and 6-8 = -2.<\/strong><\/p>\n So, 4x + 6 + x -8 = (4x+x) + (6-8) = 5x -2<\/strong>.<\/p>\n SchoolTutoring Academy<\/span> 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. To learn more about how we help parents and students in Orange visit: Tutoring in Orange. <\/a><\/p>\n","protected":false},"excerpt":{"rendered":" Like terms are the mathematical terms with the same bases and same exponents. The process of adding\/subtracting the like terms is mostly used while doing the operations on polynomials. Example: 2x and 3x are like terms. x^3 \u00a0and 2x^3 are like terms. x^2 and x^2y^2 are not like terms because the second term is including […]<\/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],"tags":[805,820,836,1247,1771,2561],"class_list":["post-2682","post","type-post","status-publish","format-standard","hentry","category-algebra","tag-how-do-i-manage-like-terms","tag-how-do-i-use-algebra-operations","tag-how-do-like-terms-modify","tag-operating-like-terms","tag-subtrating-like-terms","tag-whgat-are-algebra-operations"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/2682","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=2682"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/2682\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=2682"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=2682"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=2682"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Adding or Subtracting Like Terms:<\/h4>\n