Question

сократить дробь

 

 

(x+y)2 - (x-y)2

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    Х

Answer 1

(x^2+2xy+y^2)-(x^2-2xy+y^2)

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            x

 

x^2+2xy+y^2-x^2+2xy-y^2

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                x

 

4xy

____

x

 

4y

 

Ответ: 4у

Answer 2

$frac{(x+y)^{2}-(x-y)^{2}}{x}=frac{x^{2}+2xy+y^{2}-(x^{2}-2xy+y^{2})}{x}=frac{x^{2}+2xy+y^{2}-x^{2}+2xy-y^{2}}{x}=frac{(x^{2}-x^{2})+(2xy+2xy)+(y^{2}-y^{2})}{x}=frac{4xy}{x}=4y$