Question

If x-y = 2 , then the volue of x³-y³ -6xy is
(a) 7
(b) 8
(c) 9
(d) 10
Give me the write answer ​

Answer 1

Answer: 26

Step-by-step explanation:

x-y=2,xy=3

so x+y = root over of (x-y)²+4xy

= root over of 2²+3×4

=root over of 16

=4

x+y=4

then

x³-y³=(x-y)(x²+xy+y²)

=2[(x²+2xy+y²)-xy]

= 2[(x+y)²-xy]

=2[4²-3]

= 2×13=26

so the ans is 26

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