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Coordinate Geometry

Question
CBSEENMA9001819

15. Factorise:
a2 + b2 - 2 (ab - ac + bc)

Solution

 a2 + b2 - 2(ab - ac + bc)
= a2 + b2 - 2ab + 2ac - 2bc
= (a - b)2 + 2c(a - b)
= (a - b) (a - b + 2c).