Question

(m+n-2)^2 - (m+n) - 2 AYUDA!!!

Answer 1

$(m+n-2)^2 - (m+n) - 2 = \\ \\ m {}^{2} n {}^{2} + ( - 2) {}^{2} + 2mn + 2m \times ( - 2) + 2n \times ( - 2) = \\ \\ m {}^{2} n {}^{2} + 4 + 2mn - 4m - 4n = \\ \\ m {}^{2} n {}^{2} + 4 + 2mn - 4m - 4n - m - n - 2 = \\ \\ m {}^{2} n {}^{2} + 2 + 2mn - 4m - 4n - m - n = \\ \\ - 4m - m = \\ - 4m - 1m = \\ (4 - 1)m = \\ - 5m \\ \\ m {}^{2} + n {}^{2} + 2 + 2mn - 5m - 4n - n = \\ \\ - 4n - n = \\ - 4n - 1n = \\ ( - 4 - 1)n = \\ - 5n \\ \\ m {}^{2} + n {}^{2} + 2 + 2mn - 5m - 5n$