{"id":806,"date":"2016-05-22T20:57:34","date_gmt":"2016-05-22T19:57:34","guid":{"rendered":"http:\/\/mathsguyon.fr\/?page_id=806"},"modified":"2019-05-29T09:58:26","modified_gmt":"2019-05-29T08:58:26","slug":"factoriser-identites-remarquables","status":"publish","type":"page","link":"https:\/\/mathsguyon.fr\/?page_id=806","title":{"rendered":"Factoriser"},"content":{"rendered":"

M\u00e9thode de travail :<\/b><\/span><\/h1>\n

Pour que ces exercices soient utiles, vous devez les travailler avant par \u00e9crit, comme vous le feriez en devoir surveill\u00e9. Sans aide, ni cours.<\/i><\/b><\/h2>\n

Regardez ensuite la correction pour juger votre travail, trouver vos \u00e9ventuelles erreurs, en essayant de bien les analyser.<\/i><\/b><\/h2>\n

Exercice 1 :<\/b><\/span><\/h2>\n

Factoriser :<\/b><\/h2>\n

A =$$16 x^2 + 24 x + 9$$\u00a0\u00a0\u00a0\u00a0 ; \u00a0\u00a0 B = $$81 ^2 – 36 x + 4$$\u00a0\u00a0 ;<\/h2>\n

C = $$9 – 6 x + x^2$$\u00a0\u00a0\u00a0 ; \u00a0 D = $$49 x^2 – 16$$<\/h2>\n

E = $$4 – 100 x^2$$\u00a0 ;\u00a0 F = $$36 – x^2$$<\/h2>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Correction de A \u00e0 F<\/a><\/strong><\/h2>\n

G = $$9 x^2 – 30 x + 25$$\u00a0 ; \u00a0 H = $$16 x^2 – 4$$\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Correction G et H<\/a><\/strong><\/h2>\n

A = $$9 t^2 + 12 t + 4$$ et B = $$36 – 49 x^2$$\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Correction A et B<\/a><\/strong><\/h2>\n

<\/h2>\n

Exercice 2 : <\/b>Un peu plus dur :<\/span><\/h2>\n

Factoriser A = $$36-(2x+4)^2$$\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Correction<\/a><\/strong><\/h2>\n

Factoriser A = $$(2a-1)^2-(3a + 2)^2$$\u00a0\u00a0\u00a0\u00a0\u00a0 Correction<\/a><\/strong><\/h2>\n

<\/h3>\n

\u00a0Exercices Mathenpoche :<\/span><\/h2>\n

Exerce-toi en effectuant les exercices interactifs suivants :<\/h2>\n
    \n
  1. \n

    Factoriser une expression litt\u00e9rale en utilisant le carr\u00e9 d’une somme<\/a><\/h2>\n<\/li>\n
  2. \n

    Factoriser une expression litt\u00e9rale en utilisant le carr\u00e9 d’une diff\u00e9rence<\/a><\/h2>\n<\/li>\n
  3. \n

    Factoriser une expression litt\u00e9rale en utilisant la diff\u00e9rence de deux carr\u00e9s<\/a><\/h2>\n<\/li>\n
  4. \n

    Factoriser une expression litt\u00e9rale en utilisant la diff\u00e9rence de deux carr\u00e9s (plus complexe<\/a><\/h2>\n<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

    M\u00e9thode de travail : Pour que ces exercices soient utiles, vous devez les travailler avant par \u00e9crit, comme vous le feriez en devoir surveill\u00e9. Sans aide, ni cours. Regardez ensuite la correction pour juger votre travail, trouver vos \u00e9ventuelles erreurs, … Continuer la lecture →<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":749,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-806","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/806","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=806"}],"version-history":[{"count":19,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/806\/revisions"}],"predecessor-version":[{"id":5795,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/806\/revisions\/5795"}],"up":[{"embeddable":true,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/749"}],"wp:attachment":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=806"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}