Question

5y^3 - 125y
Factor the binomial, if possible

Answer 1

start by factoring out the GCF 5y

5y^3 - 125y

5y(y^2 - 25)


then factor y^2 - 25 using the difference of squares rule to get (y-5)(y+5)

so overall, 5y^3 - 125y factors to 5y(y-5)(y+5)