Algebrahard · Past Paper

What is the HCF of a^2 - b^2 - 2bc - c^2 and a^2 + 2ab + b^2 - c^2?

Aa + b + c
Ba + b - c
Ca - b - c
D1

✓ Correct Answer: Ba + b - c

1st: a^2 - (b+c)^2 = (a-b-c)(a+b+c). 2nd: (a+b)^2 - c^2 = (a+b-c)(a+b+c). Common is (a+b+c). Wait, checking options. a+b+c is common.

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