Which of the following is a factor of 500x^3 + 108y^18?

6

5x + 3y^6

25x^2 + 15xy^6 + 9y^2

all of the above

Question

Mathematics

Paloma

23 February, 03:44

Which of the following is a factor of 500x^3 + 108y^18?

6

5x + 3y^6

25x^2 + 15xy^6 + 9y^2

all of the above

+4

Answers (1)

Know the Answer?

Jaqueline · Answer 1

Answer: Your answer will be B)

Step-by-step explanation: Since both terms are perfect cubes, we can factor using the sum of cubes formula which is a^3 + b^3 = (a + b) (a^2 - ab + b^2) where a = 5x and b = 3y^6. Our factored equation would look like 4 (5x + 3y^6) (25x^2 - 15xy^6 + 9y^12) with the factors being 4, (5x + 3y^6), and (25x^2 - 15xy^6 + 9y^12)

Which of the following is a factor of 500x^3 + 108y^18?65x + 3y^625x^2 + 15xy^6 + 9y^2all of the above

Which of the following is a factor of 500x^3 + 108y^18?

6

5x + 3y^6

25x^2 + 15xy^6 + 9y^2

all of the above