WELCOME

Presented by Sumi . s

Reg.no:13973019 Kerala university college of teacher

education,kollam

Name of the techer : Sumi.s standard: VIII

Subject: Mathematics unit : Algebra

Topic: Square difference

A cut is made splitting the region into two rectangular pieces

a

b

a

Separate this two rectanglesa

a-b

a-b

b

The larger piece, has width a and height a-b

a

a-b

The smaller piece has width a-b and height b

a-b

b

The smaller piece can be detached, rotated and placed into the right of the larger piece. The two pieces together form a rectangle,

whose width is a+b and height a-b

This rectangle’s area is (a + b)(a - b)

a b

a-b

This rectangle’s area is same as the original figure

There for,

a – b = (a + b)(a - b)22