Difference of cubes.
Step-by-step explanation:
We are asked to find the identify that will prove that .
Polynomial identities are equations that are true and have general applications in our algebra work.
We can see that 125 equals and 8 equals . So polynomial identity used in our given problem is difference of cubes.
Difference of cubes:
Let us prove that 117=125-8.
We can write right hand side of our given equation as:
We can see that left hand side of our equation is equal to right hand side of equation. Hence, proved that difference of cubes will prove our equation equal.