Question

Greatest common factor of 60x^4y^7, 45x^5Y^5 and 75x^3y

Answer 1

we have to find greatest common factor of $60x^4y^7,45x^5y^5$ and $75x^3y$

prime factors of $60x^4y^7$ = 2 × 2 × 3 × 5 × (x × x × x × x) × (y × y × y × y × y × y × y)

prime factors of $45x^5y^5$ = 3 × 3 × 5 × (x × x × x × x × x) × (y × y × y × y × y)

prime factors of $75x^3y$ = 3 × 5 × 5 × (x × x × x) × y

now, common factors of $60x^4y^7,45x^5y^5$ and $75x^3y$ = 3 × 5 × (x × x × x) × y

= 15x³y

hence, greatest common factor of $60x^4y^7,45x^5y^5$ and $75x^3y$ is 15x³y

Answer 2

Answer: the answer is B

Step-by-step explanation: