The difference of two numbers is 3 and their product is 9. If the sum of their square is 8, What is the difference of their cubes?

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Answer 1 · 2018-06-21T13:42:13

#51#

Given:

#x-y=3#

#xy=9#

#x^2+y^2=8#

So, #x^3-y^3#

#=(x-y)(x^2+xy+y^2)#

#=(x-y)(x^2+y^2+xy)#

Plug in the desired values.

#=3*(8+9)#

#=3*17#

#=51#