Which polynomial identity will prove that 117 = 125 − 8?
2 answers:
Answer:
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.
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