Question

find the cube of 18 by using (a-b)³=a³-3a²b+3ab²-b³​

Answer 1

5832 IS THE CUBE OF 18

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Answer 2

Answer:

18 cubed = 5832

Step-by-step explanation:

(a-b)³=a³-3 a²b+3 ab²-b³

a³ - b³ = (a-b)³ + 3 a²b - 3 ab²

a³ - b³ = (a-b)³ +3 ab(a-b)

a³ - b³ = (a-b) [(a-b)² +3 ab]

a³ - b³ = (a-b) [(a-b)² +3 ab]

We all know (a - b)² = a² - 2 ab + b²

So ,

a³ - b³ = (a-b) [(a² - 2 ab + b²) +3 ab]

a³-b³= (a-b)(a²+ab+ b²) [Proved]