{"id":5605,"date":"2026-02-02T03:46:46","date_gmt":"2026-02-02T07:46:46","guid":{"rendered":"https:\/\/trdat.gaboyan.am\/?p=5605"},"modified":"2026-02-02T08:33:54","modified_gmt":"2026-02-02T12:33:54","slug":"5605","status":"publish","type":"post","link":"https:\/\/trdat.gaboyan.am\/?p=5605","title":{"rendered":"\u0540\u0561\u0576\u0580\u0561\u0570\u0561\u0577\u056b\u057e"},"content":{"rendered":"\n
    \n
  1. \u0531\u0580\u057f\u0561\u0570\u0561\u0575\u057f\u0578\u0582\u0569\u0575\u0578\u0582\u0576\u0568 \u0576\u0565\u0580\u056f\u0561\u0575\u0561\u0581\u0580\u0565\u0584 \u0584\u0561\u057c\u0561\u056f\u0578\u0582\u057d\u056b\u0576\u0565\u0580\u056b \u057f\u0561\u0580\u0562\u0565\u0580\u0578\u0582\u0569\u0575\u0561\u0576 \u057f\u0565\u057d\u0584\u0578\u057e.
    \u0561) x4<\/sup> \u2014 1=(x2<\/sup>-1)(x2<\/sup>+1)
    \u0562) 4a2<\/sup> \u2014 4=(2a-2)(2a+2)
    \u0563) m6<\/sup> \u2014 25=(m3<\/sup>-5)(m3<\/sup>+5)
    \u0564) 16y2<\/sup> \u2014 49x2<\/sup>=(4y-7x)(4y+7x)
    \u0565) 9p4<\/sup> \u2014 16q6<\/sup>=(3p2<\/sup>-4q3<\/sup>)(3p2<\/sup>+4q3<\/sup>)
    \u0566) 36m2<\/sup> \u2014 16n2<\/sup>=(6m-4n)(6m+4n)<\/li>\n<\/ol>\n\n\n\n

    211. \u0532\u0561\u0566\u0574\u0561\u0576\u0564\u0561\u0574\u0568 \u057e\u0565\u0580\u056c\u0578\u0582\u056e\u056b\u0580 \u0561\u0580\u057f\u0561\u0564\u0580\u056b\u0579\u0576\u0565\u0580\u056b\u2024<\/p>\n\n\n\n

    \u0561) a2<\/sup> \u2014 b2<\/sup>=(a-b)(a+b)<\/p>\n\n\n\n

    \u0562) 9 \u2014 (3m)2<\/sup>=(3-3m)(3+3m)<\/p>\n\n\n\n

    \u0563) m4<\/sup> \u2014 n2<\/sup>=(m2<\/sup>-n)(m2<\/sup>+n)<\/p>\n\n\n\n

    \u0564) y2<\/sup> \u2014 x2<\/sup>=(y-x)(y-x)<\/p>\n\n\n\n

    \u0565) 16 \u2014 p4<\/sup>=(4-p2<\/sup>)(4+p2<\/sup>)<\/p>\n\n\n\n

    \u0566) p8<\/sup> \u2014 49=(p4<\/sup>-7)(p4<\/sup>+7)<\/p>\n\n\n\n

    \u0567) (2x)2<\/sup>\u00a0\u2014 1=(2x-1)(2x+1)<\/p>\n\n\n\n

    \u0568) 25 \u2014 a6<\/sup>=(5-a3<\/sup>)(5+a3<\/sup>)<\/p>\n\n\n\n

    \u0569) 1 \u2014 x4<\/sup>=(1-x2<\/sup>)(1+x2<\/sup>)<\/p>\n\n\n\n

    \u056a) a4<\/sup> \u2014 b4<\/sup>=(a2<\/sup>-b2<\/sup>)(a2<\/sup>+b2<\/sup>)<\/p>\n\n\n\n

    \u0532\u0561\u0566\u0574\u0561\u0576\u0564\u0561\u0574\u0568 \u057e\u0565\u0580\u056c\u0578\u0582\u056e\u0565\u0584 \u0561\u0580\u057f\u0561\u0564\u0580\u056b\u0579\u0576\u0565\u0580\u056b (218-219).

    218.
    \u0561) (3x + 2)2<\/sup> \u2014 x2<\/sup>=(3x+2-x)(3x+2+x)=(2x+2)(4x+2)
    \u0562) (2x \u2014 5)2<\/sup> \u2014 (1 \u2014 x)2<\/sup>=(2x-5-1+x)(2x-5+1-x)=(3x-6)(x-4)
    \u0563) (4x + 3)2<\/sup> \u2014 (x + 1)2<\/sup>=(4x+3-x-1)(4x+3+x+1)=(3x+2)(5x+4)
    \u0564) (5x \u2014 2)2<\/sup> \u2014 (x \u2014 1)2<\/sup> =(5x-2-x+1)(5x-2+x-1)=(4x-1)(6x-3)<\/p>\n\n\n\n

    219.<\/p>\n\n\n\n

    \u0561) (3x + y)2<\/sup>\u00a0\u2014 (2x \u2014 3y)2<\/sup>=(3x+y-2x+3y)(3x+y+2x-3y)=(x+4y)(5x-2y)<\/p>\n\n\n\n

    \u0562) (5x \u2014 2y)2<\/sup>\u00a0\u2014 (2x \u2014 y)2<\/sup>=(5x-2y-2x+y)(5x-2y+2x-y)=(3x-y)(7x-y)<\/p>\n\n\n\n

    \u0563) (2x2<\/sup> \u2014 y)2<\/sup> \u2014 x4<\/sup>=(2x2<\/sup>-y-x2<\/sup>)(2x2<\/sup>-y+x2<\/sup>)=(x2<\/sup>-y)(3x2<\/sup>-y)<\/p>\n\n\n\n

    \u0564) (3x2<\/sup> \u2014 2y)2<\/sup> \u2014 4x4<\/sup>=(3x2<\/sup>-2y-2x2<\/sup>)(3x2<\/sup>-2y+2x2<\/sup>)=(x2<\/sup>-2y)(5x2<\/sup>-2y)<\/p>\n\n\n\n

    \u0565) (4x + 3y)2<\/sup>\u00a0\u2014 (3x \u2014 4y)2<\/sup>=(4x+3y-3x+4y)(4x+3y+3x-4y)=(x+7y)(7x-y)<\/p>\n\n\n\n

    \u0566) (2x \u2014 4y)2<\/sup>\u00a0\u2014 (5x + y)2<\/sup>=(2x-4y-5x-y)(2x-4y+5x+y)=(-3x-5y)(7x-3x)<\/p>\n\n\n\n

    \u0567) (x2<\/sup>\u00a0\u2014 2y)2<\/sup>\u00a0\u2014 y4<\/sup>=(x2<\/sup>-2y-y2<\/sup>)(x2<\/sup>-2y+y2<\/sup>)=(x2<\/sup>-y2<\/sup>)(x2<\/sup><\/sup>+y2<\/sup>)<\/p>\n\n\n\n

    \u0568) (4x2<\/sup> + 3y)2<\/sup> -9y4<\/sup> =(4x2<\/sup>+3y-3y2<\/sup>)(4x2<\/sup>+3y+3y2<\/sup>)=(4x2<\/sup>-y2<\/sup>)(4x2<\/sup><\/sup>+6y2<\/sup>)<\/p>\n","protected":false},"excerpt":{"rendered":"

    211. \u0532\u0561\u0566\u0574\u0561\u0576\u0564\u0561\u0574\u0568 \u057e\u0565\u0580\u056c\u0578\u0582\u056e\u056b\u0580 \u0561\u0580\u057f\u0561\u0564\u0580\u056b\u0579\u0576\u0565\u0580\u056b\u2024 \u0561) a2 \u2014 b2=(a-b)(a+b) \u0562) 9 \u2014 (3m)2=(3-3m)(3+3m) \u0563) m4 \u2014 n2=(m2-n)(m2+n) \u0564) y2 \u2014 x2=(y-x)(y-x) \u0565) 16 \u2014 p4=(4-p2)(4+p2) \u0566) p8 \u2014 49=(p4-7)(p4+7) \u0567)<\/p>\n","protected":false},"author":2,"featured_media":5007,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[69],"tags":[],"class_list":["post-5605","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-69"],"_links":{"self":[{"href":"https:\/\/trdat.gaboyan.am\/index.php?rest_route=\/wp\/v2\/posts\/5605","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/trdat.gaboyan.am\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/trdat.gaboyan.am\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/trdat.gaboyan.am\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/trdat.gaboyan.am\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5605"}],"version-history":[{"count":3,"href":"https:\/\/trdat.gaboyan.am\/index.php?rest_route=\/wp\/v2\/posts\/5605\/revisions"}],"predecessor-version":[{"id":5609,"href":"https:\/\/trdat.gaboyan.am\/index.php?rest_route=\/wp\/v2\/posts\/5605\/revisions\/5609"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/trdat.gaboyan.am\/index.php?rest_route=\/wp\/v2\/media\/5007"}],"wp:attachment":[{"href":"https:\/\/trdat.gaboyan.am\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5605"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/trdat.gaboyan.am\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5605"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/trdat.gaboyan.am\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5605"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}