Question

which term can be added to the list so that the greatest common factor of the three terms is 12h3? 36h3, 12h6,

Answer 1

a = 12h³ or any multiple of 12h³

Explanation:

Let the third term of the list is a.

So greatest common factor of "36h³, 12h⁶ and a " is 12h³

Now we do the factors of all terms.

36h³ = 1 × 2 × 2 × 3 × 3 × h × h × h

12h⁶ = 1 × 2 × 2 × 3 × h × h × h × h × h × h

a = 1 × a

So greatest common factor of 36h³, 12h⁶ and a will be 12h³ × a = 12h³

Therefore, a = 12h³ or any multiple of 12h³

Answer 2

Any multiple of 12h^3.

Remember that the greatest common factor is the common terms raised to the lowest power. Then you can include any terms that includes 12h^3

For example, 12h^3, or 24h^12, 60h^9, etc.