Question 243552
{{{(x-1)(x^2-4)+2(x-1)(x+2)=(x-1)*p}}} Start with the given equation.



{{{(x-1)((x^2-4)+2(x+2))=(x-1)*p}}} Factor out the GCF {{{x-1}}}



{{{(x-1)((x^2-4)+2(x+2))/(x-1)=p}}} Divide both sides by {{{x-1}}} to isolate 'p'.



{{{cross((x-1))((x^2-4)+2(x+2))/cross((x-1))=p}}} Cancel out the common terms.



{{{(x^2-4)+2(x+2)=p}}} Simplify



{{{p=(x^2-4)+2(x+2)}}} Rearrange the equation.



{{{p=x^2-4+2x+4}}} Distribute



{{{p=x^2+2x}}} Combine like terms.