a project to verify the expansion formula by using area (a+b)(a-b) =a*2-b*2
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Step 1: Draw a square ACDF with AC=a units.
Step 2: Cut AB=b units so that BC=(a−b) unts.
Step 3: Complete the squares and rectangle as shown in the diagram.
Step 4: Area of yellow square IDEO= Area of square ACDF− Area of rectangle GOFE− Area of rectangle BCIO− Area of red square ABOG
Therefore, (a−b)
2=a
2−b(a−b)−b(a−b)−b
2= a 2−ab+b
2 −ab+b 2 −b2=a2−2ab+b 2
Hence, geometrically we proved the identity (a−b)2=a 2 −2ab+b2
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