Question

simplifique as expressoes

a) (x-y)²-x(x-2y)
b) (m+1)(m-1)+(m+1)²-2m

Answer 1

a)
${(x - y)}^{2} - x(x - 2y) = \\ {x}^{2} - 2xy + {y}^{2} - ( {x}^{2} - 2yx) = \\ {x}^{2} - 2xy + {y}^{2} - {x}^{2} + 2yx = \\ {y}^{2}$

b)
$(m + 1)(m - 1) + {(m + 1)}^{2} - 2m = \\ {m}^{2} -1 + {m}^{2} + 2m + 1 - 2m = \\ {2m}^{2}$