How do you factor y^5 + 9y^2?

2 Answers
Sep 17, 2015

y^2(y^3+9)

Explanation:

the only factor common to both is y^2

hence the solution is y^2(y^3+9)

but y^3 + 9 is divisible by y + (cube root of 9)

so y^3 + 9 = y^2 - (cube root of 9)y + (cube root of 9)squared

Final answer:
y^2[y^2 - (cube root of 9)y + (cube root of 9)squared]

It is y^5+9y^2=y^2(y^3+9)