So, first we multiply the fraction by using the formula a/b times c/d= a times c/b times d =(y^2-16) times 5y/2y(y-4) Now, we cancel the common factor y =(y^2-16) times 5/2(y-4) Now, we factor 5(y^2-16) We factor (y^2-16) first y^2-16 Rewrite 16 as 4^2 y^2-4^2 Now, apply the formula x^2-y^2=(x+y)(x-y) =y^2-4^2=(y+4)(y-4) =5(y+4)(y-4) =5(y+4)(y-4)/2(y-4) Cancel the common factor y-4 =5(y+4)/2 Answer: 5(y+4)/2
