Question

factorise (x-y)^2-(x-y)^3
$(x - y)^{2} - (x - y)^{3}$
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Answer 1

Question:-

Simplify:-

${(x - y)}^{2} - {(x - y)}^{3}$

Solution:-

$= {(x - y)}^{2} - {(x - y)}^{3} \\ = {x}^{2} + {y}^{2} - 2xy - ({x}^{3} - 3 {x}^{2} y + 3 {yx}^{2} - {y}^{3} ) \\ = {x}^{2} + {y}^{2} - {x}^{3} - 2xy - 3x{y}^{2} + 3 {x}^{2} y + {y}^{3}$

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