Question 560583
I'll do the first one to get you started


{{{x=9}}} or {{{x=27}}} Start with the given solutions.



{{{x-9=0}}} or {{{x-27=0}}} Get everything to one side so that only 0 remains on the right side (for both equations).



{{{(x-9)(x-27)=0}}} Use the zero product property to combine the equations.



{{{x^2-36x+243=0}}} FOIL out the left side.



So the answer is {{{x^2-36x+243=0}}}



To check your work, simply solve {{{x^2-36x+243=0}}} for x. Doing so will show you that the solutions are {{{x=9}}} or {{{x=27}}}, which confirm the answer.