Geometrical Representations Of Algebraic Identities 50wq

a

E

A

B

a

AB = BC = CD = DA = a + b

G F

H

Area of EBFG GHDI GICF AEGH

= = = =

a2

axa = b x b = b2 ab ab

b D

b

Area of ABCD = EBFG + GHDI + GICF + AEGH So, (a + b)2 = a2 + b2 + ab + ab = a2 + 2ab + b2

I

C

a (a – b)

A

B

a

(a – b)

E

Area of ABCD AEGD FCDH HOGD

= = = =

a x a = a2 ab b ab b x b = b2 D

O

F

H

b

G

Area of EBFO = ABCD - AEGD - FCDH + HOGD So, (a - b)(a - b) = a2 - ab - ab + b2 (a - b)2 = a2 - 2ab + b2

C

a (a – b)

A

B

a

(a – b)

H

F

E

b

Area of ABCD = a x a = a2 DEFG = b x b = b2

D

ABCD – DEFG = AEFG + BCGH a2 - b2 = a(a - b) + b(a - b) = (a - b)(a + b)

b

G

C

ACKNOWLEDGEMENTS Group :

Ronak Sahai Toorni Biswas Manan Garg Deepujwal Apoorv PPT BY RONAK SAHAI

SUGESTIONS GIVEN BY TOORNI BISWAS