Given m 2-MN = 20, Mn-N 2 = - 8, the values of M 2-N 2 + 2 and m 2-2mn + N 2 are obtained | Math enthusiast | Mathematical art

Given m 2-MN = 20, Mn-N 2 = - 8, the values of M 2-N 2 + 2 and m 2-2mn + N 2 are obtained

∵ m2-mn = 20 ①, mn-n2 = - 8 ②, ∵ ① + ②: m2-n2 = 12, that is m2-n2 + 2 = 14; ① - ②: m2-2mn + N2 = 28

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