Respuesta :

Answer:

-10y² -y -10

Step-by-step explanation:

D - C = (-7y² +3y -6) -(3y² +4y +4)

... = y²(-7-3) +y(3 -4) +(-6-4) . . . . collect terms

... = -10y² -y -10

The difference in the polynomial function is  -10y² - y - 10

Given the following expression:

D(y) = -7y² +3y -6

C(y) = 3y² +4y +4

We are required to find the expression D(y) - C(y)

Substitute the given expression into the formula:

D(y) - C(y) =  -7y² +3y -6  - ( 3y² +4y +4)

Expand;

D(y) - C(y) =  -7y² +3y -6  - 3y² - 4y - 4

Collect the like terms:

D(y) - C(y) =  -7y² -3y² +3y - 4y - 6 - 4

D(y) - C(y) = -10y² - y - 10

Hence the difference in the polynomial function is  -10y² - y - 10

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