solve please if you are a math genious please
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Step-by-step explanation:
Given:
- a - b = 7
- ab = 18
To find:
- a³ - b³
Solution:
We know:
- (a - b)³ = a³ - b³ - 3ab(a - b)
We can write this as:
⇒ a³ - b³ = (a - b)³ - 3ab(a - b)
⇒ a³ - b³ = (7)³ - 3(18)(7)
⇒ a³ - b³ = 343 - 378
∴ a³ - b³ = -35
∴ The value of a³ - b³ = -35.
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