Find the value of the missing coefficient in the factored form of 64f^3-125g^3

Answer 1

The given expression is 64f^3-125g^3.

This expression can be factored using the difference of cubes formula:

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

In this case, a = 4f and b = 5g.

So the factored form of 64f^3-125g^3 is:

(4f - 5g)(16f^2 + 20fg + 25g^2)

Therefore, the missing coefficient in the factored form is 16.