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Question

Expand the polynomial geometrically: y272

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Solution

Step 1: Draw a square and cut into 3 parts.
Step 2: There are 1 hided square green and 2 rectangles (pink, blue)
Step 3: Area of the full square =(y)2(7)2
Step 4: Now we have to find the area of rectangle as shown in the figure.
Step 5: Consider the area of pink rectangle = length × breadth = y(y7)
Step 6: Area of blue rectangle = 7(y7)
Step 7: Area of full square = area of pink rectangle + area of blue rectangle.
i.e., (y)2(7)2=y(y7)+7(y7)
(y)2(7)2=(y+7)(y7)
Hence, geometrically we proved the identity (y)2(7)2=(y+7)(y7).
506198_469565_ans.png

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