Question

The value of P3 – q3, if
p-q = -8, pq = - 12 is​

Answer 1

Answer:

Given:

p - q = - 8

pq = - 12

p^3 - q^3 = ?

We know that,

=> (p - q)^2 = p^2 + q^2 - 2pq

=> (- 8)^2 = p^2 + q^2 - 2(-12)

=> 64 = p^2 + q^2 + 24

=> p^2 + q^2 = 64 - 24

=> p^2 + q^2 = 40

Now,

We know that;

=> p^3 - q^3 = (p - q)(p^2 + q^2 + pq)

=> p^3 - q^3 = (-8)(40 - 12)

=> p^3 - q^3 = (-8)(28)

=> p^3 - q^3 = - 224

Thus, the required value of p^3 - q^3 is

- 224.

Answer 2

Answer:

The right answer is -224