Algebramedium · Past Paper

Find the HCF of x^2 - y^2 and x^3 - y^3.

Ax - y
Bx + y
Cx^2 + xy + y^2
D(x-y)^2

✓ Correct Answer: Ax - y

x^2-y^2 = (x-y)(x+y) and x^3-y^3 = (x-y)(x^2+xy+y^2). Common factor is (x-y).

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