If \( a: x=y: b \), prove that \( a^{2}-a x+x^{2}: a x+a b-x y \) \( =y^{2}-b y+b^{2}: b y-a b+x...

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If \( a: x=y: b \), prove that \( a^{2}-a x+x^{2}: a x+a b-x y \) \( =y^{2}-b y+b^{2}: b y-a b+x y \).
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