Question

Find the value of the missing coefficient in the factored form of 27f^3 + 125g^3. 27f^3+125g^3=(3f+5g)(9f^2-?fg + 25g)^2

Answer 1

15

Explanation:

The formula for factoring a sum of cubes is:

`a^3+b^3=(a+b)(a^2-ab+b^2)`

We have a=3f and b=5g here.

So a*b in this case is 3f*5g=15fg.

The ? is 15.