Question

If a-b = 5 and a*b = 14, then find the value of a³-b³..

Answer 1

acube - b cube can be written as (a-b) whole cube
A-b whole cube = acube - bcube -(3ab) a-b
14(3) (5) = 210

Answer 2

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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