{"id":214,"date":"2022-04-13T10:21:01","date_gmt":"2022-04-13T10:21:01","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=214"},"modified":"2025-01-24T09:52:39","modified_gmt":"2025-01-24T09:52:39","slug":"k-3-multiply-and-divide-rational-expressions","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/k-3-multiply-and-divide-rational-expressions\/","title":{"rendered":"K.3 Multiply and divide rational expressions"},"content":{"rendered":"\n

Multiply and divide rational expressions<\/strong><\/h2>\n\n\n\n

Key Notes :<\/p>\n\n\n\n

To divide by a fraction, multiply by its reciprocal.<\/p>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

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Multiply. Write your answer in simplest form.<\/strong><\/p>\n\n\n\n

7g\/6 . (4g2<\/sup> -11g-3) = _________<\/p>\n<\/div><\/div>\n\n\n\n

Multiply<\/p>\n\n\n\n

7g\/6 . (4g2<\/sup> -11g-3) <\/p>\n\n\n\n

7g\/6 . 4g2<\/sup> -11g-3\/1 Rewrite the second expression as a fraction<\/p>\n\n\n\n

7g(4g2<\/sup> -11g-3) \/6 Multiply the numerators and multiply the denominators<\/p>\n\n\n\n

7g(4g+1)(g-3)\/6 Factorise the quadratic<\/p>\n\n\n\n

The answer is 7g(4g+1)(g-3)\/6 , which can also be written as <\/p>\n\n\n\n

28g3<\/sup> -77g2 <\/sup> -21g \/6.<\/p>\n<\/div><\/div>\n\n\n\n

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Divide. Write your answer in simplest form.<\/strong><\/p>\n\n\n\n

c-4\/2c \u00f7 (2c+5) = _________<\/p>\n<\/div><\/div>\n\n\n\n

Divide.<\/p>\n\n\n\n

c-4\/2c \u00f7 (2c+5) <\/p>\n\n\n\n

c-4\/2c \u00f7 2c+5\/1 Rewrite the second expression as a fraction<\/p>\n\n\n\n

c-4\/2c \u00f7 1\/ 2c+5 To divide, multiply by the reciprocal<\/p>\n\n\n\n

c-4\/2c(2c+5) Multiply the numerators and multiply the denominators<\/p>\n\n\n\n

The answer is c-4\/2c(2c+5) , which can also be written as <\/p>\n\n\n\n

c-4\/4c2<\/sup> +10c<\/p>\n<\/div><\/div>\n\n\n\n

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Multiply. Write your answer in simplest form.<\/strong><\/p>\n\n\n\n

v+5\/3v2<\/sup> -4v . (4v+5) = _____________<\/p>\n<\/div><\/div>\n\n\n\n

Multiply<\/p>\n\n\n\n

v+5\/3v2<\/sup> -4v . (4v+5) <\/p>\n\n\n\n

v+5\/3v2<\/sup> -4v . (4v+5)\/1 Rewrite the second expression as a fraction<\/p>\n\n\n\n

v+5\/v(3v-4) . (4v+5)\/1 Factorise out the GCF<\/p>\n\n\n\n

(v+5)(4v+5)\/v(3v-4) Multiply the numerators and multiply the denominators<\/p>\n\n\n\n

The answer is  (v+5)(4v+5)\/v(3v-4) , which can also be written as<\/p>\n\n\n\n

4v2<\/sup> +25v+25\/3v2<\/sup> -4v .<\/p>\n<\/div><\/div>\n\n\n\n

let’s practice!<\/p>\n\n\n\n

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\"\"<\/a><\/figure>\n<\/div>\n\n\n\n
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\"\"<\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Multiply and divide rational expressions Key Notes : To divide by a fraction, multiply by its reciprocal. Learn with an example Multiply. Write your answer in simplest form. 7g\/6 . (4g2 -11g-3) = _________ Multiply 7g\/6 . (4g2 -11g-3) 7g\/6 . 4g2 -11g-3\/1 Rewrite the second expression as a fraction 7g(4g2 -11g-3) \/6 Multiply the numerators and multiply the denominators 7g(4g+1)(g-3)\/6 Factorise the quadratic The answerContinue reading “K.3 Multiply and divide rational expressions”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-214","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/214","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=214"}],"version-history":[{"count":15,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/214\/revisions"}],"predecessor-version":[{"id":17459,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/214\/revisions\/17459"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=214"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}