Question

find the of p3-q3 if p-q = -7 and pq = -10
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Answer 1

GIVEn

find the of p³-q³ if p-q = -7 and pq = -10

SOLUTIOn

• p - q = - 7
• pq = -10

Applying identity :

(a - b)³ = a³ - b³ - 3ab(a - b)

→ p - q = 7

Cube both side

→ (p - q)³ = (7)³

→ p³ - q³ - 3pq(p - q) = 343

→ p³ - q³ - 3*(-10)*(-7) = 343

→ p³ - q³ - 210 = 343

→ p³ - q³ = 343 + 210

→ p³ - q³ = 550

Hence, the value of p³ - q³ is 550