{"page":"\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/resources-c03aa079.css\" /\u003e\n\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/lp_boclips_stylesheets-517835be.css\" media=\"all\" /\u003e\n\u003cdiv data-title='Expanding Double Brackets' data-url='/boclips/videos/634c05caf0c50125a1d0709f' data-video-url='/boclips/videos/634c05caf0c50125a1d0709f' id='bo_player_modal'\u003e\n\u003cdiv class='boclips-resource-page modal-dialog panel-container'\u003e\n\u003cdiv class='react-notifications-root'\u003e\u003c/div\u003e\n\u003cdiv class='rp-header'\u003e\n\u003cdiv class='rp-type'\u003e\n\u003ci aria-hidden='true' class='fai fa-regular fa-circle-play'\u003e\u003c/i\u003e\nVideo\n\u003c/div\u003e\n\u003ch1 class='rp-title' id='video-title'\u003e\nExpanding Double Brackets\n\u003c/h1\u003e\n\u003cdiv class='rp-actions'\u003e\n\u003cdiv class='mr-1'\u003e\n\u003ca class=\"btn btn-success\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_link_boclips\" data-remote=\"true\" href=\"/subscription/new\"\u003e\u003cspan\u003e\u003cspan\u003eGet Free Access\u003c/span\u003e\u003cspan class=\"\"\u003e for 10 Days\u003c/span\u003e\u003cspan\u003e!\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='rp-body'\u003e\n\u003cdiv class='rp-info'\u003e\n\u003cdiv aria-label='Hide resource details' class='rp-hide-info' role='button' tabindex='0'\u003e\u0026times;\u003c/div\u003e\n\u003ci aria-label='Expand resource details' class='rp-expand-info fai fa-solid fa-up-right-and-down-left-from-center' role='button' tabindex='0'\u003e\u003c/i\u003e\n\u003ci aria-label='Compress resource details' class='rp-compress-info fai fa-solid fa-down-left-and-up-right-to-center' role='button' tabindex='0'\u003e\u003c/i\u003e\n\u003cdiv class='rp-rating'\u003e\n\u003cspan class='resource-pool'\u003e\n\u003cspan class='pool-label'\u003ePublisher:\u003c/span\u003e\n\u003cspan class='pool-name'\u003e\n\u003cspan class='text'\u003e\u003ca data-publisher-id=\"30356647\" href=\"/search?publisher_ids%5B%5D=30356647\"\u003eFuseSchool\u003c/a\u003e\u003c/span\u003e\n\u003c/span\u003e\n\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='rp-description'\u003e\n\u003cspan class='short-description'\u003eIn this video we’re going to look at how to expand double brackets. Once we know how to expand double brackets, we’ll also be able to expand triple brackets and so on, so we’ll have a look at a triple bracket example towards the end of...\u003c/span\u003e\n\u003cspan class='full-description hide'\u003eIn this video we’re going to look at how to expand double brackets. Once we know how to expand double brackets, we’ll also be able to expand triple brackets and so on, so we’ll have a look at a triple bracket example towards the end of this video.\u003cbr/\u003e\u003cbr/\u003eWhen expanding double brackets, we need to remember that in algebra when two things are next to each other it means they are multiplied (x - 5)(x + 3) is the same as (x - 5) X (x + 3). So we need to multiply everything in the second bracket by everything in the first bracket.\u003cbr/\u003e\u003cbr/\u003eThere are 2 different methods, so choose whichever one you prefer.\u003cbr/\u003e\u003cbr/\u003eFor the first method we draw arcs linking each term in the first bracket to each term in the 2nd bracket. So x multiplied by x is x squared, x multiplied by 3 is 3x, -5 multiplied by x is -5x, and -5 multiplied by 3 is -15. We end up with 4 arcs; that’s really important - it means I haven’t missed any out accidentally.\u003cbr/\u003eSome people like to remember this as FOIL: First…. Outer... Inner... Last...\u003cbr/\u003e\u003cbr/\u003e The second method that you may prefer is to split up each bracket into a grid and then just multiply each bit together.\u003cbr/\u003eFor both methods we then just need to simplify the middle terms by 3x - 5x = -2x, so the final answer is x^2 - 2x - 15. For triple brackets, follow the exact same process as double brackets: start by expanding the first two brackets like you would normally and then multiply that answer by the third bracket.\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='action-container flex justify-between'\u003e\n\u003cbutton aria-expanded='false' aria-label='Read more description' class='rp-full-description' type='button'\u003e\n\u003ci class='fai fa-solid fa-align-left'\u003e\u003c/i\u003e\n\u003cspan id='read_more'\u003eRead More\u003c/span\u003e\n\u003c/button\u003e\n\u003cdiv class='rp-report'\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv aria-labelledby='resource-details-heading' class='rp-info-section'\u003e\n\u003ch2 class='title' id='resource-details-heading'\u003eResource Details\u003c/h2\u003e\n\u003cdiv class='rp-resource-details clearfix'\u003e\n\u003cdiv class='detail'\u003e\n\u003cdl\u003e\n\u003cdt\u003eCurator Rating\u003c/dt\u003e\n\u003cdd\u003e\u003cspan class=\"star-rating\" 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