Question

verify the identities (a+b2)=a2+b2+2ab and (a-b)2=a2+b2-2ab geometrically by taking a=5 units and b=2 units​

Answer 1

Step-by-step explanation:

(a - b)^2 = a^2-2ab+b^2

Draw a square with side a -b i.e., 3-2 LHS Area of whole square

= (3 -2)^2

= 1^2 =

1

RHS = Area of square with side 3 units + Area of square with side 3 units -Area of rectangle with side 3, 2 units - Area of rectangle with side 2, 3 units

= 3^2 + 2^2 -3 x 2-3 x 2

= 9+4-6-6 = 1

LHS=RHS.

Hence verified.