Question

If a - b = 2 and ab = 24, then what is the value of a3- b3?

A) 280 B) 124 C) 140 D) 152

Answer 1

Answer :

The value of a³ - b³ is 152.

Step-by-step explanation :

a - b = 2

ab = 24

Using identity here :

( a - b )³ = a³ - b³ - 3ab ( a - b )

⇒ ( 2 )³ = a³ - b³ - 3 × 24 ( 2 )

⇒ 8 = a³ - b³ - 72 ( 2 )

⇒ a³ - b³ = 8 + 144

⇒ a³ - b³ = 152.

Hence, the value of a³ - b³ is 152.

Answer 2

Answer:

your answer is option D(152)

Step-by-step explanation:

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