Question 375091


{{{(p^2-9)/((p+3)^2)}}} Start with the given expression.



{{{((p-3)*(p+3))/((p+3)^2)}}} Factor {{{p^2-9}}} to get {{{(p-3)*(p+3)}}}.



{{{((p-3)*(p+3))/((p+3)(p+3))}}} Factor {{{(p+3)^2}}} to get {{{(p+3)(p+3)}}}.



{{{((p-3)*highlight((p+3)))/(highlight((p+3))*(p+3))}}} Highlight the common terms. 



{{{((p-3)*cross((p+3)))/(cross((p+3))*(p+3))}}} Cancel out the common terms. 



{{{(p-3)/(p+3)}}} Simplify. 



So {{{(p^2-9)/((p+3)^2)}}} simplifies to {{{(p-3)/(p+3)}}}.



In other words, {{{(p^2-9)/((p+3)^2)=(p-3)/(p+3)}}}



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Jim