Question

$(x + y {}^{2} {) - (x - y)}^{2}$
please tell it's answer​

Answer 1

Answer:

x - x^{2} + 2xy

Step-by-step explanation:

($x$ + $y^{2}$ ) - $(x-y)^{2}$

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

=$x + y^{2} - x^{2} - y^{2} + 2xy$

=$x - x^{2} + 2xy$

Answer 2

Answer:

${(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy - - - - (1) \\ {(x - y)}^{2} = {x}^{2} + {y}^{2} - 2xy - - - - (2) \\ equcation \: (1) - equaction \: (2) \\ {x}^{2} + {y}^{2} + 2xy - ( {x}^{2} + {y}^{2} - 2xy) \\ = {x}^{2} + {y}^{2} + 2xy - {x}^{2} - {y}^{2} + 2xy \\ = 4xy$

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