prove that (1+1) = (1+1)²...
No nonsense .
Wrong answer will be deleted at the spot.
Answers
[ Note:- This proof is for fun part only .]
Proof:-
Let us take two numbers a and b such that a = b .
Now using this we will proceed further :
➤ a = b
Now , Multiplying both sides by a ,
➤ a × a = b × a.
➤ a² = ba .
Now , subtracting b² both sides ,
➤ a² - b² = ab - b².
➤ ( a + b ) ( a - b ) = b ( a - b ) .
Dividing both sides by ( a - b ) ,
➤ ( a + b )( a - b ) / ( a - b ) = b( a - b ) / ( a - b ) .
➤ a + b = b .
Now earlier we have assumed that a = b , so put a = b in the above equⁿ :
➤ a + a = a .
➤ 2a = a
Cancellation of a both sides ;
➤ 2 = 1 .
Now this can be written as ,
➤ 1 + 1 = 1.
Square both sides :-
➥ ( 1 + 1 ) ² = 1 ² .
Hence Proved.
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