Algebramedium · Past Paper

If the HCF of two expressions is (x - 3) and their LCM is (x^2 - 9)(x + 2), and one expression is (x^2 - 9), find the other.

A(x-3)(x+2)
B(x+3)(x+2)
C(x-3)
D(x^2-9)

✓ Correct Answer: A(x-3)(x+2)

Other expression = (HCF * LCM) / First = ((x-3) * (x^2-9)(x+2)) / (x^2-9) = (x-3)(x+2).

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