Question

. Prove that :2 + 1 1+2 = 1.

Answer 1

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Answer 2

$\mathfrak{\huge{\underline{Solution:}}}$


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$\: \: \: \: \: \: \: \: \sf1 = 1 \\ \sf 1 - 1 = 1 {}^{2} - {1}^{2} \: \: \: \: \: \: \: \: \: \{ a {}^{2} - b {}^{2} = (a - b)(a + b) \} \\ \sf1 - 1 =(1 - 1)(1+ 1) \\ \\ \sf Dividing \: (1 - 1) \: on \: both \: side \\ \\ \sf\frac{ \cancel{(1 - 1)}}{ \cancel{(1 - 1)}} = \frac{ \cancel{(1 - 1)}(1 + 1)}{ \cancel{(1 - 1)}} \\ \\ \huge{\boxed{ \sf \blue{1 = 2}}} \\ \\ \sf \large {Hence \: Proved!!!}$

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