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Linear equation....... ​

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ANSWER:

for \: x = 0 \\ y = (a + b) ....(1)\\ and \: for \: y = 0 \\ x = (a + b).....(2) \\ substitute \: (1) \: and \: (2) \: in \: given \: equation \: of \: lhs \: we \: will \: get \\ a(a + b) - b(a + b) = a {}^{2}  + ab - ab - b {}^{2}  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =  \: a {}^{2}  - b {}^{2}  \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: = rhs \: proved



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