factorising problem (1 Viewer)

[ctpengage]

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

 

[bored of sc]

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

No idea.

 

[Mark576]

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: