Question Number 128444 by ZulqarnainHaiderSial last updated on 07/Jan/21
$$\left({x}+{y}\right)\left({x}+{y}\right)=?\:{if}\:{xy}=−\mathrm{3}\:\:{and}\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{10} \\ $$
Commented by BHOOPENDRA last updated on 07/Jan/21
$$ \\ $$$$\left({x}+{y}\right)^{\mathrm{2}} ={x}^{\mathrm{2}} +{y}^{\mathrm{2}} +\mathrm{2}{xy} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{10}+\mathrm{2}\left(−\mathrm{3}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{4} \\ $$