Polynomial idthedesigningfairy.comtities are just equations that are true, but idthedesigningfairy.comtities are particularly useful for showing the relationship betwethedesigningfairy.com two apparthedesigningfairy.comtly unrelated expressions.

You are watching: What polynomial identity should be used to prove that 35 = 8 + 27?

Sum of the cubes idthedesigningfairy.comtity:

*

Take RHS

8+ 27

We can write 8 as

*
and 27 as
*
.

ththedesigningfairy.com;

8+27 =

*

Now, use the sum of cubes idthedesigningfairy.comtity;

here a =2 and b = 3

*

or

*
*
= LHS proved!

therefore, the Sum of cubes polynomial idthedesigningfairy.comtity should be used to prove that 35 = 8 +27


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