Question 1119182
the distributive property says:


(a - b) * (c + d) equals a * (c + d) - b * (c + d) which is equal to:


a * c + a * d - b * c - b * d.


your expression is  3 – 6y^2 and y^2 + 2.


this would be written as (3 - 6y^2) * (y^2 + 2)


by the distributive property, this would be equal to:


3 * (y^2 + 2) - 6y^2 * (y^2 + 2), which would be equal to:


3 * y^2 + 3 * 2 - 6y^2 * y^2 - 6y^2 * 2, which would be equal to:


3y^2 + 6 - 6y^4 - 12y^2, which would then be equal to:


-9y^2 + 6 - 6y^4 after combining like terms, which would then be equal to:


-6y^4 - 9y^2 + 6 after re-arranging the terms in descending order of degree.


-6y^2 * 2 = -12y^2 so she did that correctly.


3y^2 - 12y^2 = -9y^2 so she did that correctly.


she did not, however, use the distributive property correctly.


that's your answer.