{"id":34982,"date":"2023-01-16T15:38:33","date_gmt":"2023-01-16T10:08:33","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=34982"},"modified":"2023-01-17T09:49:03","modified_gmt":"2023-01-17T04:19:03","slug":"evaluate-the-difference-of-two-squares","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/evaluate-the-difference-of-two-squares\/","title":{"rendered":"Evaluate the Difference of Two Squares | Difference of Two Squares Problems"},"content":{"rendered":"

Are you looking for How to Evaluate the Difference of Two Squares Problems? We have given all Difference of Two Squares problems along with the evaluation of Difference of Two Squares with detailed explanation. Students can refer to all factorization<\/a> problems on our website and begin their practice to score good marks in the exam.<\/p>\n

Solved Problems to Evaluate the Difference of Two Squares<\/h2>\n

Use the formula of the difference of two squares to evaluate the following algebraic expressions:<\/p>\n

(i) (202)2<\/sup> – (123)2<\/sup><\/p>\n

Solution:
\nGiven expression is (202)2<\/sup> – (123)2<\/sup>
\nThe above equation (202)2<\/sup> – (123)2 <\/sup>is in the form of a2<\/sup>\u00a0\u2013 b2<\/sup>.
\n(202)2<\/sup> – (123)2<\/sup>
\nNow, apply the formula of a2<\/sup>\u00a0\u2013 b2<\/sup> = (a + b) (a \u2013 b), where a = 202 and b = 123
\n(202 + 123) (202 – 123)
\n(325) (79)
\n25675<\/p>\n

The final answer is 25675.<\/p>\n

(ii) (600)2<\/sup> – (598)2<\/sup><\/p>\n

Solution:
\nGiven expression is (600)2<\/sup> – (598)2<\/sup>
\nThe above equation (600)2<\/sup> – (598)2<\/sup>\u00a0<\/sup>is in the form of a2<\/sup>\u00a0\u2013 b2<\/sup>.
\n(600)2<\/sup> – (598)2<\/sup>
\nNow, apply the formula of a2<\/sup>\u00a0\u2013 b2<\/sup> = (a + b) (a \u2013 b), where a = 600 and b = 598
\n(600 + 598) (600 – 598)
\n(1198) (2)
\n2396<\/p>\n

The final answer is 2396.<\/p>\n

(iii) (4.2)2<\/sup> – (2.1)2<\/sup><\/p>\n

Solution:
\nGiven expression is (4.2)2<\/sup> – (2.1)2<\/sup>
\nThe above equation (4.2)2<\/sup> – (2.1)2<\/sup>\u00a0<\/sup>is in the form of a2<\/sup>\u00a0\u2013 b2<\/sup>.
\n(4.2)2<\/sup> – (2.1)2<\/sup>
\nNow, apply the formula of a2<\/sup>\u00a0\u2013 b2<\/sup> = (a + b) (a \u2013 b), where a = 4.2 and b = 2.1
\n(4.2 + 2.1) (4.2 – 2.1)
\n(6.3) (2.1)
\n13.23<\/p>\n

The final answer is 13.23.<\/p>\n

(iv)\u00a0(97.8)2<\/sup> – (0.4)2<\/sup><\/p>\n

Solution:
\nGiven expression is (97.8)2<\/sup> – (0.4)2<\/sup>
\nThe above equation (97.8)2<\/sup> – (0.4)2<\/sup>\u00a0<\/sup>is in the form of a2<\/sup>\u00a0\u2013 b2<\/sup>.
\n(97.8)2<\/sup> – (0.4)2<\/sup>
\nNow, apply the formula of a2<\/sup>\u00a0\u2013 b2<\/sup> = (a + b) (a \u2013 b), where a = 97.8 and b = 0.4
\n(97.8 + 0.4) (97.8 – 0.4)
\n(98.2) (97.4)
\n9564.68<\/p>\n

The final answer is 9564.68.<\/p>\n

(v) (8.4)2<\/sup>\u00a0– (1.8)2<\/sup><\/p>\n

Solution:
\nGiven expression is (8.4)2<\/sup>\u00a0– (1.8)2<\/sup>
\nThe above equation (8.4)2<\/sup>\u00a0– (1.8)2 <\/sup>is in the form of a2<\/sup>\u00a0\u2013 b2<\/sup>.
\n(8.4)2<\/sup>\u00a0– (1.8)2<\/sup>
\nNow, apply the formula of a2<\/sup>\u00a0\u2013 b2<\/sup> = (a + b) (a \u2013 b), where a = 8.4 and b = 1.8
\n(8.4 + 1.8) (8.4 – 1.8)
\n(10.2) (6.6)
\n67.32<\/p>\n

The final answer is 67.32.<\/p>\n","protected":false},"excerpt":{"rendered":"

Are you looking for How to Evaluate the Difference of Two Squares Problems? We have given all Difference of Two Squares problems along with the evaluation of Difference of Two Squares with detailed explanation. Students can refer to all factorization problems on our website and begin their practice to score good marks in the exam. … Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/34982"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=34982"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/34982\/revisions"}],"predecessor-version":[{"id":138492,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/34982\/revisions\/138492"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=34982"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=34982"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=34982"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}