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Question

Solve this (α+1)2(α+1)2(α+1)(β+1)+(β+1)2(β+1)2(α+1)(β+1) to get =α+1αβ+β+1βα=αβαβ

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Solution

(α+1)2(α+1)2(α+1)(β+1)+(β+1)2(β+1)2(α+1)(β+1)=α+1αβ+β+1βα
=αβαβ
L.H.S : - (α+1)2(α+1)2(α+1)(β+1)+(β+1)2(β+1)2(α+1)(β+1)
(α+1)2(α+1)(α+1β1)+(β+1)2(β+1)(β+1α1)
α+1αβ+β+1βα R.H.S.
α+1(αβ)(β+1)(αβ)
α+1β1(αβ)=(αβ)(αβ) Proved.

1194871_1292199_ans_6f4a7112db0b481094b49213f0055b37.jpg

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