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factorising problem (1 Viewer)

ctpengage

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factor
a^4 + b^2 + c^2 - 2 ( a^2 b - a^ 2 c + bc ) - 2 ( a^2 - b + c ) + 1
 

Mark576

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a4 + b2 + c2 - 2(a2b - a2c + bc) - 2(a2 - b + c) + 1

= a4 + [b2 - 2bc + 2b + c2 - 2c + 1] - 2a2b + 2a2c - 2a2

= a4 + (b - c + 1)2 - 2a2(b - c + 1)

= [a2 - (b - c + 1)]2

:wave:
 
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