Simplifying x^2 2xy + y^2 = 0 . #10; #10; x^2 2xy + y^2 = 0 #10; #10; x^2 xy xy + y^2 = 0 #10; #10; x( x y) y( x y) ...

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Factorisation Using Algebraic Identities

Simplify x2...

Question

Simplify $x^{2} - 2 x y + y^{2} = 0$

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Solution

Simplifying $x^{2} - 2 x y + y^{2} = 0$ .

$x^{2} - 2 x y + y^{2} = 0$

$x^{2} - x y - x y + y^{2} = 0$

$x (x - y) - y (x - y) = 0$

$(x - y) (x - y) = 0$

${(x - y)}^{2} = 0$

$x - y = 0$

$x = y$

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