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Verify the identity (a + b) ² =a2+2ab +b2?
with illustration by paper cutting
taking a=5cm and b=3 cm
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Given : identity (a + b) ² =a²+2ab +b²
To Find : Verify the identity with illustration by paper cutting
taking a=5cm and b=3 cm
Solution:
Take a Square sheet of 8 cm x 8 cm
From Top right corner cut a square of 5 x 5 cm
From Left bottom corner cut a square 3 x 3 cm
Check Other two Pieces which are of 5 x 3 cm
and 3 x 5 cm
Hence we got 5 x 5 + 5 x 3 + 3 x 5 + 3 x 3
= 5² + 5 x 3 + 5 x 3 + 3²
= 5² + 2 * 5 * 3 + 3²
= a² + 2ab + b²
Square sheet of 8 cm x 8 cm
= 8²
= ( 5 + 3)²
= ( a + b)²
( a + b)² = a² + 2ab + b²
Verified
Learn More:
If abc are all non zero and a+b+c=0 prove that a2/bc+b2/ca+c2/ab=3
https://brainly.in/question/2632411
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