Answer:
-203
Step-by-step explanation:
We know that by formula
p^3 – q^3 = (p – q) (p^2 + pq + q^2 ) -------(1)
(p-q)^2 = p^2 -2pq +q^2 --------(2)
Solving eq(1)
(-7)^2 = p^2 -2(-10) +q^2
49 = 10 +p^2 + q^2
p^2 + q^2 = 39--------(3)
Given:
p-q = -7
pq = -10
Put all given values and eq(3) in eq(1)
p^3 - q^3 = (-7) (39-10)
p^3 - q^3 = (-7) (29)
p^3 - q^3 = -203
