Algebrahard · Past Paper

Factorize m^4 - 11m^2n^2 + n^4.

A(m^2+3mn-n^2)(m^2-3mn-n^2)
B(m^2+mn+n^2)(m^2-mn+n^2)
C(m^2-n^2)^2
D(m^2+n^2)^2-11m^2n^2

✓ Correct Answer: A(m^2+3mn-n^2)(m^2-3mn-n^2)

(m^2-n^2)^2 - 9m^2n^2 = (m^2-n^2-3mn)(m^2-n^2+3mn).

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