If a-b = 5 and a*b = 14, then find the value of a³-b³..
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acube - b cube can be written as (a-b) whole cube
A-b whole cube = acube - bcube -(3ab) a-b
14(3) (5) = 210
A-b whole cube = acube - bcube -(3ab) a-b
14(3) (5) = 210
Answered by
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The value of a³ - b³ = 335
Given :
a - b = 5 and ab = 14
To find :
The value of a³ - b³
Formula :
a³ - b³ = (a - b)³ + 3ab(a - b)
Solution :
Step 1 of 2 :
Write down the given data
Here it is given that a - b = 5 and ab = 14
Step 2 of 2 :
Find the value of a³ - b³
We use the formula
a³ - b³ = (a - b)³ + 3ab(a - b)
Thus we get
a³ - b³
= (a - b)³ + 3ab(a - b)
= (5)³ + 3 × 14 × 5
= 125 + 210
= 335
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