view - National Center for Education Development

ca, o;sf k|To]s 6'qmfsf] If]qkmn lgsfn]/ hf]8\bf, a 2 + ab + ab + b 2 = a 2 + 2ab + b 2
x'G5 .
t;y{, (a + b) 2 = a 2 + 2ab + b 2 eof] .
v_ (a - b) 2 sf] la:tf/
lrqdf b]vfOPh:t} ju{ ABCD nfO{ nDafO = rf}8fO = a x'g] u/L /]vfª\sg u/f} ― .
a-b
A
G
b
B
a-b
b 2
D
C
To;}u/L pQm ju{sf] nDafO = rf}8fO = a af6 b 36fO{ a-b cª\sg u/L /]vfª\sg u/f} ― .
ca a-b sf] ju{ lgsfNg ju{ AGOE afx]ssf ;a} 6'j|mfx¿ lgsfNg'÷x6fpg'k5{ .
cfot EFCD sf] If]qkmn = a�b x'G5 . o;/L cfot EFCD 6'j|mf lgsfn]kl5 cfot
BGHC lgsfNg b 2 If]qkmn ePsf] ju{ FOHC yKg'kg] { x'G5 . o;/L yk]kl5 cfot BGHC
sf] If]qkmn = ab eof] . oL b'j} cfot 36fp―bf - 2ab eof] .
To;}n] (a - b) 2 = a 2 - 2ab + b 2 eof] .
u_ (a 2 - b 2 ) sf] v08Ls/0f
E
F
tnsf] klxnf] lrqdf lbOPsf] ju{sf] nDafO = rf}8fO = a / If]qkmn a�a = a 2 xf] .
To;}u/L 5fof kfl/Psf] ju{sf] nDafO = rf}8fO = b / If]qkmn b�b = b 2 xf] .
ca, a 2 - b 2 sf] cy{af/] 5nkmn u/L a 2 - b 2 sf] cy{ a 2 af6 b 2 36fpg] cyf{t\ lemSg] xf] eGg]
lgisif{df k'Ug] .
bf];|f] lrqdf, b 2 36fPkl5 af―sL /x]sf] a 2 - b 2 xf] .
a
O
a 2
H
a
b
b 2
a
a
74