What is the sum of the square of the difference between the cubes of 2 and 1 and the triple cube of their difference?
| May 2, 2021 | education
Find the square of the difference between the cubes of numbers 2 and 1:
(2³ – 1³) ² = (8 – 1) ² = 7² = 49.
Find the triple cube of the difference between the numbers 2 and 1:
3 * (2 – 1) ³ = 3 * 1³ = 3 * 1 = 1.
We now find the sum of the square of the difference between the cubes of the numbers 2 and 1 and the triple cube of the difference of these numbers:
(2³ – 1³) ² + 3 * (2 – 1) ³ = 49 + 1 = 50.
Answer: the required amount is 50.
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