Find the LCM of (a^2 - b^2) and (a^3 - b^3). – Algebra

Algebramedium · Past Paper

Find the LCM of (a^2 - b^2) and (a^3 - b^3).

A(a-b)(a+b)(a^2+ab+b^2)

B(a-b)

C(a^2-b^2)

D(a^3-b^3)

✓ Correct Answer: A — (a-b)(a+b)(a^2+ab+b^2)

Factors are (a-b)(a+b) and (a-b)(a^2+ab+b^2). LCM takes all factors: (a-b)(a+b)(a^2+ab+b^2).

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