Question

if a=2,b= -1/2, verify -(a+b=b+a)​

Answer 1

Step-by-step explanation:

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 = a

2

−b

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 = 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., a

2

−b

2

=a(a−b)+b(a−b)

a

2

−b

2

=(a+b)(a−b)

Hence, geometrically we proved the identity a

2

−b

2

=(a+b)(a−b).