Algebramedium · Past Paper

Factorize a^4 - b^4.

A(a-b)(a+b)(a^2+b^2)
B(a^2-b^2)^2
C(a-b)^2(a+b)^2
D(a-b)(a^3+b^3)

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

(a^2)^2 - (b^2)^2 = (a^2-b^2)(a^2+b^2) = (a-b)(a+b)(a^2+b^2).

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