Question

what is the greatest common factor of $20y^9 + 5y^6$?
$5y^6$
$20y^3$
$10y^9$
$5y^9$

Explanation:

Step1: Find GCF of coefficients

Factors of 20: $1, 2, 4, 5, 10, 20$
Factors of 5: $1, 5$
Greatest common factor: $5$

Step2: Find GCF of variable terms

For $y^9$ and $y^6$, use the lowest exponent: $y^6$

Step3: Combine GCFs

Multiply the coefficient GCF and variable GCF: $5 \times y^6 = 5y^6$

Answer:

$5y^6$