Question

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

Answer 1

ANSWER

(a + b)² = a² + 2ab + b²

Draw a square with side a + bie 3+2

LHS Area of whole square

= (3+2)² = 5² = 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 = 3² +2²+3x2+3 × 2

= 9+4+6+ 6 = 25

Feedback

LHS=RHS.

Hence verified.

Answer 2

(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.