{"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":"
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 Procedure<\/strong> <\/span> Observations and Calculations<\/strong><\/span><\/p>\n Result<\/strong> <\/span> 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":"\n\n
\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.
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\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).
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\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.
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\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\n
\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
\n(a\u00b2 – b\u00b2) = (a+b)(a-b).<\/li>\n<\/ol>\n
\nThe identity (a\u00b2 – b\u00b2) = (a+b)(a-b) is verified.<\/p>\n