Question

What is the greatest common factor of 30y^10 + 15y^6 + 5y^2?

30y^10
5y^2
y^2
5y^10

Answer 1

5y²

Explanation:

Prime factorizing each term :

⇒ 30y¹⁰ = 5 x 3 x 2 x y¹⁰

⇒ 15y⁶ = 5 x 3 x y⁶

⇒ 5y² = 5 x y²

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From this, we understand the GCF of the numbers are :

⇒ 5 × y²

⇒ 5y²