Question

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Answer 1

Answer:

(c)x³ - y³ = 234

Step-by-step explanation:

Given :

• (x - y) = 6.
• xy = 1.

Find the value of x³ - y³ :

Step 1 : Cubing both sides

→ (x - y)³ = 6³

[using the identity : (a - b)³ = a³ - b³ - 3ab(a - b) ]

Where,

• a = x
• b = y

So,

→ x³ - y³ - 3(xy)(x - y) = 216

Step 2 : Substitute the given values :

→ x³ - y³ - 3(1)(6) = 216

→ x³ - y³ - 18 = 216

Step 3 : Solving for x³ - y³

→ x³ - y³ - 18 = 216

[transposing '-18' to L. H. S.]

→ x³ - y³ = 126 + 18

→ x³ - y³ = 234

The value of x³ - y³ is 234

Answer 2

Step-by-step explanation:

option 'c' 234

note :- kindly refer to above attachment