a^2+b^2-2(ab-ac+bc)
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Answer: (a - b) (a - b + 2c)
Step-by-step explanation:
a^2 + b^2 - 2(ab - ac + bc)
= a^2 + b^2 - 2ab + 2ac - 2bc
= (a - b)^2 + 2ac - 2bc [we know that a^2 + b^2 - 2ab= (a-b)^2]
= (a - b)^2 + 2c (a - b)
= (a - b) (a - b + 2c)
Hope it helps......
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