{"id":19623,"date":"2023-01-02T10:00:21","date_gmt":"2023-01-02T04:30:21","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=19623"},"modified":"2023-01-03T09:32:42","modified_gmt":"2023-01-03T04:02:42","slug":"math-labs-with-activity-verify-the-identity-a2-b2-method-1","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/math-labs-with-activity-verify-the-identity-a2-b2-method-1\/","title":{"rendered":"Math Labs with Activity – Verify the Identity (a\u00b2 – b\u00b2) = (a+b)(a-b) (Method 1)"},"content":{"rendered":"

Math Labs with Activity – Verify the Identity (a\u00b2 – b\u00b2) = (a+b)(a-b) (Method 1)<\/strong><\/span><\/h2>\n

OBJECTIVE<\/strong><\/span><\/p>\n

To verify the identity (a\u00b2 – b\u00b2) = (a+b)(a-b) (Method 1)<\/p>\n

Materials Required<\/strong><\/span><\/p>\n

    \n
  1. A piece of cardboard<\/li>\n
  2. A sheet of white paper<\/li>\n
  3. A geometry box<\/li>\n
  4. A tube of glue<\/li>\n
  5. A coloured glazed paper<\/li>\n
  6. A pair of scissors<\/li>\n<\/ol>\n

    Procedure<\/strong> <\/span>
    \nWe shall verify the identity for a = 10, b = 3.
    \nStep 1:<\/strong> Paste the white paper on the cardboard. Draw a rectangle ABCD of length AB = 13 cm and breadth BC = 10 cm on this paper as shown in Figure 8.1.
    \n\"Math
    \nStep 2:<\/strong> Cut a rectangle EFGH of length EF = 10 cm and breadth FG = 3 cm from the coloured glazed paper as shown in Figure 8.2(a). Also, cut a square PQRS of side 3 cm as shown in Figure 8.2(b).
    \n\"Math
    \nStep 3:<\/strong> Paste the rectangle EFGH over the rectangle ABCD such that the side EH falls on the side AD and the point H falls on the point D as shown in Figure 8.3.
    \n\"Math
    \nStep 4:<\/strong> Paste the square PQRS over the rectangle ABCD such that the side QR falls on the side BC and the point R falls on the point C as shown in Figure 8.3.
    \nStep 5:<\/strong> Produce the line GF to meet the side AB at a point M as shown in Figure 8.3.<\/p>\n

    Observations and Calculations<\/strong><\/span><\/p>\n

      \n
    1. Area of rectangle ABQE = (a+b)(a- b).<\/li>\n
    2. Area of rectangle ABCD =(a+b)a.
      \nArea of rectangle EFGH = ab.
      \nArea of square PQRS = b\u00b2.
      \narea of rect. ABQE = (area of rect. ABCD) – (area of rect. EFGH) – (area of square PQRS) =(a+b)a-ab-b\u00b2 = a\u00b2 + ab-ab -b\u00b2 = a\u00b2-b\u00b2.<\/li>\n
    3. Equating the two values of the area of rectangle ABQE, we get
      \n(a\u00b2 – b\u00b2) = (a+b)(a-b).<\/li>\n<\/ol>\n

      Result<\/strong> <\/span>
      \nThe identity (a\u00b2 – b\u00b2) = (a+b)(a-b) is verified.<\/p>\n

      Math Labs with Activity<\/a>Math Labs<\/a>Math Lab Manual<\/a>Science Labs<\/a>Science Practical Skills<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

      Math Labs with Activity – Verify the Identity (a\u00b2 – b\u00b2) = (a+b)(a-b) (Method 1) OBJECTIVE To verify the identity (a\u00b2 – b\u00b2) = (a+b)(a-b) (Method 1) Materials Required A piece of cardboard A sheet of white paper A geometry box A tube of glue A coloured glazed paper A pair of scissors Procedure We […]<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[6805],"tags":[],"yoast_head":"\nMath Labs with Activity - Verify the Identity (a\u00b2 - b\u00b2) = (a+b)(a-b) (Method 1) - A Plus Topper<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.aplustopper.com\/math-labs-with-activity-verify-the-identity-a2-b2-method-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Math Labs with Activity - 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