Question 156109


{{{25x^2-36}}} Start with the given expression.



{{{(5x)^2-36}}} Rewrite {{{25x^2}}} as {{{(5x)^2}}}.



{{{(5x)^2-(6)^2}}} Rewrite {{{36}}} as {{{(6)^2}}}.



Notice how we have a difference of squares. So let's use the difference of squares formula {{{A^2-B^2=(A+B)(A-B)}}} to factor the expression:



{{{(5x+6)(5x-6)}}} Factor the expression using the difference of squares.



So {{{25x^2-36}}} factors to {{{(5x+6)(5x-6)}}}.



In other words {{{25x^2-36=(5x+6)(5x-6)}}}.