Answer:

The subtraction is carried out as follows,

(y  

3

−3xy  

2

−4x  

2

y)−(x  

3

+2x  

2

y+6xy  

2

−y  

3

)

=y  

3

−3xy  

2

−4x  

2

y−x  

3

−2x  

2

y−6xy  

2

+y  

3

Rearranging the like terms together,

=(y  

3

+y  

3

)+(−3xy  

2

−6xy  

2

)+(−4x  

2

y−2x  

2

y)−x  

3

=2y  

3

−9xy  

2

−6x  

2

y−x  

3

Step-by-step explanation:

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Answer:

(y^3+2*2-3xy^2+3xy) -(x^3-2xy^2+4x^2y)

=(y^3-x^3)+(-3xy^2+2xy^2) +(3xy-4x^y+4)

=y^3-x^3-xy^2+3xy-4x^2y+4