Question 213242
5w^2-45 factored out completely


Step 1.  Factor out 5


{{{5w^2-45=5(w^2-9)}}}


Step 2.  Use difference of squares formula


{{{5(w^2-9)=5(w^2-3^2)}}}


{{{5(w^2-3^2)=5(w-3)(w+3)}}}


Step 3.  Answer is 5(w-3)(w+3)


I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J