Factor Completely:
2x^3-2x^2y-6xy+3y^2

2(x^2 - 3y)(x-y)

Step-by-step explanation:

2x^3-2x^2y-6xy+3y^2=

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

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

2x(x^2-3y)-2y(x^2 - 3y)=

(x^2 - 3y)(2x-2y)=

(x^2 - 3y)2(x-y)=

2(x^2 - 3y)(x-y)

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

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step-by-step explanatio89