Question

If m3= 15 and n3=14, find the value of
m-n-1÷ (m² +mn +n²) .​

Answer 1

hello here is your answer

Answer 2

Step-by-step explanation:

m – n = 2; mn = 15

∴ (m + n)² = (m – n)² + 4mn = 4 + 4 × 15 = 64

⇒ m + n = 64 = 8

∴ m + n + m – n = 8 + 2 = 10

⇒ 2m = 10 ⇒ m = 5

∴ m + n = 8 ⇒ 5 + n = 8

⇒ n = 8 – 5 = 3

∴ (m² – n²) (m³ – n³)

= (5² – 3²) (5³ – 3³)

= (25 – 9) (125 – 27)

= 16 × 98 = 1568