Question

To find the algebraic equation (a+b)(a-b)=a2=b2 with the help of geometrical figure

Answer 1

Answer:

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 = a2−b2

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 = a(a−b)

Step 6: Area of blue rectangle = b(a−b) 

Step 7: Area of full square = area of pink rectangle + area of blue rectangle.

i.e., a2−b2=a(a−b)+b(a−b)

a2−b2=(a+b)(a−b)

Hence, geometrically we proved the identity