Question

Question as below :-

If p - q = 8 and pq = -12 then the value of p^3 - q^3 is

Answer 1

Answer :

Given that,

    p - q = 8

    pq = - 12

We know that,

    p³ - q³

    = (p - q)³ + 3pq (p - q)

    = 8³ + 3 (- 12) (8)

    = 512 - 288

    = 224

#MarkAsBrainliest

Answer 2

p - q = 8 , pq = -12 , p^3 - q^3 = ?

p - q = 8

take cube on both side , we get

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

use identity:
--------------------

(a - b)^3 = a^3 - b^3 - 3a^2b + 3ab^2

p^3 - q^3 - 3p^2q + 3pq^2 = 512

p^3 - q^3 - 3p ( pq ) + 3q(pq) = 512

p^3 - q^3 - 3p( -12 ) + 3q(-12) = 512

p^3 - q^3 + 36p - 36q = 512

p^3 - q^3 + 36 ( p - q ) = 512

p^3 - q^3 + 36 (8 ) = 512

p^3 - q^3 + 288 = 512

p^3 - q^3 = 224

Answer:
--------------

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