Question

Which polynomial identity will prove that 35 = 27 + 8? a. Difference of Squares b. Difference of Cubes c. Sum of Cubes d. Square of a Binomial

Answer 1

Option c that is sum of cubes will prove 35 = 27 + 8

Explanation:

We have been given:

35 = 27 + 8

On the right hand side of the above equation we have been given two numbers

27 which is cube of 3

And 8 which is cube of 2

we can clearly see the right hand side of the above equation is sum of the cubes.

Hence, option c that is sum of cubes will prove 35 = 27 + 8

Answer 2

27 + 8 = 35
3³ + 2² = 35
( 3 + 2 ) · ( 3² - 3 · 2 + 2² ) = 35
5 · ( 9 - 6 + 4 ) = 35
5 · 7 = 35
35 = 35
Answer: C ) Sum of the cubes