If p + q = 6 and pq = 5, find p³ + q³.
126
Using the identity \(p^3+q^3 = (p+q)^3 - 3pq(p+q)\).
Substituting the given values: \(p^3+q^3 = 6^3 - 3(5)(6) = 216-90\).
Therefore, \(p^3+q^3 = 126\).
Similar Questions
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Important Questions from Identities
If x 2 + 4y 2 = 40, xy = 6 and x > 2y then the value of x - 2y is:
- \(\dfrac{(5.17-2.19)^2-(5.17+2.19)^2}{11.3223}\)
If a(a + b + c) 2= 1792; b(a + b + c) 2= 1536; c(a + b + c) 2= 768 then what will be the value of a?
If a + b + c = 5, a 2+ b 2+ c 2= 27, a 3 + b 3 + c 3 = 125, then the value of \(\frac{abc}{5}\) is:
(999) 2- 2 2=
