Question

266
Mathematies VIII
2.
Verify the identity (a - b)? = - 2ab + b? geometrically by taking
(1) a=3 units, b=1 unit
(11)
a=5 units, b=2 units​

Answer 1

Step-by-step explanation:

(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.

do the same thing to both (1)and(11)

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