Question

If 4p-5q=2 and pq = 6 then find 64p^3-125q^3

Answer 1

As 4p - 5q = 2 ............ (1)
pq = 6 .............. (2)
Cubing both side of (1) we get
(4p - 5q)^3 = (2)^3
64p^3 - 125q^3 - 3 (4p x 5q) (4p - 5q) = 8
64p^3 - 125q^3 - (60pq) (4p - 5q) = 8
64p^3 - 125q^3 - (60 pq) (2) = 8
64p^3 - 125q^3 - (60 x 6) (2) = 8
64p^3 - 125q^3 - 720 = 8
64p^3 - 125q^3 = 8 + 720
64p^3 - 125q^3 = 728

Therefore, 728 is your answer

Answer 2

Answer:

Step-by-step explanation:

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