Question Number 145280 by mathdanisur last updated on 03/Jul/21
$${if}\:\:\boldsymbol{{x}}^{\mathrm{2}} =\boldsymbol{{x}}+\mathrm{2}\:\:{find}\:\:\frac{\boldsymbol{{x}}^{\mathrm{3}} +\mathrm{1}}{\left(\boldsymbol{{x}}+\mathrm{1}\right)^{\mathrm{2}} }\:=\:? \\ $$
Answered by puissant last updated on 03/Jul/21
$$\mathrm{x}^{\mathrm{3}} =\mathrm{x}^{\mathrm{2}} +\mathrm{2x}\:\Rightarrow\:\mathrm{x}^{\mathrm{3}} +\mathrm{1}=\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} \\ $$$$\Rightarrow\frac{\mathrm{x}^{\mathrm{3}} +\mathrm{1}}{\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} }=\mathrm{1}… \\ $$
Commented by peter frank last updated on 04/Jul/21
$${thank}\:{you} \\ $$
Commented by mathdanisur last updated on 04/Jul/21
$${Thanks}\:{Ser} \\ $$