Question

Verfiy the identity (a-b)(a+b) a2- b2
gemotrically by taking. a=3units b=2units,a=2units b=1units​

Answer 1

Answer:

(a+b)

2

≡a

2

+2ab+b

2

Draw a square with side a+b ie 3+2

LHS Area of whole square

=(3+2)

2

=5

2

=25

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

+3×2+3×2

=9+4+6+6=25

LHS=RHS.

Hence verified.

Answer 2

Answer:

(3-2)(3+2)=5

3^2-2^2=9-4=5