Question

on factorising (x_y)square + 4xy _ 2 square we get

Answer 1

${(x - y)}^{2} + 4xy - {2}^{2} \\ = {x}^{2} + {y}^{2} - 4xy + 4xy - 4 \\ = {x}^{2} + {y}^{2} - {2}^{2} \\ = {x}^{2} + {y}^{2} - {2}^{2} \: \: or \: \: {y}^{2} + {x}^{2} - {2}^{2} \\ = {x}^{2} + (y + 2)(y -2)or \: \: {y}^{2} + (x + 2)(x - 2)$