I also need you to check and make sure that I am using the FOIL method correctly for this problem.

#82). 9w-w^3

9w-w^3=w*(w^2-9) I have to factor out the GCF, which is “w”.

9-w^2=3^2-w^2= (3-w) (3+w) = (3-w) (w+3)

3-w=-(w-3)

(3-w)(W+3)=-(w-3) (w+3)

9w-w^3=w (9-w^2) =w (3-w) (w+3) = w*[-(w-3)] (w+3) =-w*(w-3) (w+3)

9w-w^3=-w^3+9w=-(w+3)*w*(w-3) Now it has become a perfect
Answer this Question

you turned the sign around in the second line

w (9-w^2)

w (3-w)(3+w)