Answer to Question #144964 in Algebra for Junaid Hussain

Question #144964

How can we Factorize x^2 - 3xy + y^2?

Expert's answer

"x^2 -3xy+y^2 = \\\\\n=x^2-2xy+y^2-xy = \\\\\n=(x-y)^2 - (\\sqrt{xy})^2=\\\\\n=(x-y-\\sqrt{xy})(x-y+\\sqrt{xy})\\\\ \nanswer:\\ (x-y-\\sqrt{xy})(x-y+\\sqrt{xy})"

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