Question

(97)³ (using (a-b)³)​

Answer 1

Answer:

97³

( 100 - 3 )³

• ( a - b) ³ : a³ + b³ - 3ab ( a + b )
• 100³ + 3³ - 3(100)(3)( 100 + 3)
• 1000000 + 27 - 900(103)
• 1000000 + 27 - 92700
• 1000027 - 92700
• 907327

Hence the answer is 907327

Answer 2

Answer:

Question :-

• (97)³ (using (a - b)³)

Answer :-

➠ (97)³

➻ (100 - 3)³

➻ (100)³ - (3)³ - 3 × 100 × 3(100 - 3)

➻ 1000000 - 27 - 900 × 97

➻ 1000000 - 27 - 87300

➻ 1000000 - 87327

➻ 912673

∴ The value of (97)³ is 912673