{"id":265602,"date":"2025-07-22T07:47:21","date_gmt":"2025-07-22T07:47:21","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=265602"},"modified":"2025-07-22T07:47:23","modified_gmt":"2025-07-22T07:47:23","slug":"1-less-than-the-square-of-a-number","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/22\/1-less-than-the-square-of-a-number\/","title":{"rendered":"1 less than the square of a number"},"content":{"rendered":"\n<p>1 less than the square of a number.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The expression &#8220;1 less than the square of a number&#8221; can be written mathematically as: x2\u22121x^2 &#8211; 1<\/p>\n\n\n\n<p>Where xx is the variable representing the number. To understand this expression, let\u2019s break it down:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Square of a number<\/strong>: This means multiplying the number by itself. For instance, the square of 3 is 32=93^2 = 9.<\/li>\n\n\n\n<li><strong>1 less than the square<\/strong>: Once you find the square of the number, you subtract 1 from it. For example, if the number is 3, the square is 9, and 1 less than 9 is 8.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Example<\/h3>\n\n\n\n<p>Let\u2019s take an example to understand how the expression works:<\/p>\n\n\n\n<p>If the number is 4, the square of 4 is: 42=164^2 = 16<\/p>\n\n\n\n<p>Then, 1 less than the square is: 16\u22121=1516 &#8211; 1 = 15<\/p>\n\n\n\n<p>So, for x=4x = 4, the result of the expression x2\u22121x^2 &#8211; 1 is 15.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Generalization<\/h3>\n\n\n\n<p>The expression x2\u22121x^2 &#8211; 1 is also known as a difference of squares. This is because: x2\u22121=(x\u22121)(x+1)x^2 &#8211; 1 = (x &#8211; 1)(x + 1)<\/p>\n\n\n\n<p>This identity shows that you can factor the expression as the product of two binomials. This can be useful when simplifying algebraic expressions or solving equations.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>In summary, &#8220;1 less than the square of a number&#8221; refers to the mathematical operation where you take the square of a number and subtract 1 from it. The result is expressed as x2\u22121x^2 &#8211; 1, and for any given number xx, you can calculate it by squaring the number and then subtracting 1.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1 less than the square of a number. The correct answer and explanation is: The expression &#8220;1 less than the square of a number&#8221; can be written mathematically as: x2\u22121x^2 &#8211; 1 Where xx is the variable representing the number. To understand this expression, let\u2019s break it down: Example Let\u2019s take an example to understand [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-265602","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/265602","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=265602"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/265602\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=265602"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=265602"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=265602"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}