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Question Number 172014 by Mikenice last updated on 23/Jun/22

using properties of determinats  prove that  [−yz      y^2 +yz       z^2 +yz]  [x^2 +xz   −xz          z^2 +xy] =(xy+yz+zx)^2      x^2 +xy     y^2 +xy        −xy]

$${using}\:{properties}\:{of}\:{determinats} \\ $$$${prove}\:{that} \\ $$$$\left[−{yz}\:\:\:\:\:\:{y}^{\mathrm{2}} +{yz}\:\:\:\:\:\:\:{z}^{\mathrm{2}} +{yz}\right] \\ $$$$\left[{x}^{\mathrm{2}} +{xz}\:\:\:−{xz}\:\:\:\:\:\:\:\:\:\:{z}^{\mathrm{2}} +{xy}\right]\:=\left({xy}+{yz}+{zx}\right)^{\mathrm{2}} \\ $$$$ \\ $$$$\left.\:{x}^{\mathrm{2}} +{xy}\:\:\:\:\:{y}^{\mathrm{2}} +{xy}\:\:\:\:\:\:\:\:−{xy}\right] \\ $$

Commented by Mikenice last updated on 23/Jun/22

okay sir

$${okay}\:{sir} \\ $$

Commented by som(math1967) last updated on 23/Jun/22

I think question is wrong

$${I}\:{think}\:{question}\:{is}\:\boldsymbol{{wrong}} \\ $$

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