Question

If x-y=2 then solve x³-y³-6xy

Answer 1

Answer:

the required is x³- y³ - 6xy =8

Step by step explanation:

Given: x-y =2

To find: what is x³-y³-6xy =??

Solution:

x-y=2

Cubing both side,

(x-y)³ = (2)³

Using algebraic identity,(a-b)³=a³-b³-3ab(a-b)

x³-y³- 3xy(x-y)=8

Substitute the value,

x³-y³-3xy(2) = 8

x³-y³-6xy = 8

Therefore, the required value is x³ - y³ - 6xy = 8